{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# How to use pyMannKendall package functions : a brief example"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Three datasets are used here for demonstrating the use of this package. the datasets are\n",
    "- **Daily Female Births Dataset:** This dataset describes the number of daily female births in California in 1959. This dataset is available in [here](https://raw.githubusercontent.com/jbrownlee/Datasets/master/daily-total-female-births.csv).\n",
    "\n",
    "- **Shampoo Sales Dataset:** This dataset describes the monthly number of sales of shampoo over 3 years. This dataset is available in [here](https://raw.githubusercontent.com/jbrownlee/Datasets/master/shampoo.csv)\n",
    "\n",
    "-  **Air Passengers Dataset:** This famous dataset describes monthly international airline passengers (in thousands) from January 1949 to December 1960. It is widely used as a nonstationary seasonal time series.  This dataset is available in [here](https://www.kaggle.com/freespirit08/time-series-for-beginners-with-arima/data)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import pymannkendall as mk\n",
    "import matplotlib.pyplot as plt\n",
    "import statsmodels.api as sm\n",
    "%matplotlib inline\n",
    "\n",
    "# read all datasets\n",
    "Birth_data = pd.read_csv(\"daily-total-female-births.csv\",parse_dates=['Date'],index_col='Date')\n",
    "Shampoo_data = pd.read_csv(\"shampoo.csv\",parse_dates=['Month'],index_col='Month')\n",
    "Passenger_data = pd.read_csv(\"AirPassengers.csv\",parse_dates=['Month'],index_col='Month')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Daily Female Births Dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Births</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1959-01-01</th>\n",
       "      <td>35</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1959-01-02</th>\n",
       "      <td>32</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1959-01-03</th>\n",
       "      <td>30</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1959-01-04</th>\n",
       "      <td>31</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1959-01-05</th>\n",
       "      <td>44</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            Births\n",
       "Date              \n",
       "1959-01-01      35\n",
       "1959-01-02      32\n",
       "1959-01-03      30\n",
       "1959-01-04      31\n",
       "1959-01-05      44"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Birth_data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Birth_data.plot(figsize=(12,8));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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2b6qqVlXbF69EAABYeicMxlU1leQ9Sa5LcnmSm6rq8iHtXprkHya5d7GLBACApTZKj/FVSfa21h5qrU0n+XCSG4a0++dJfi7Jc4tYHwAALItRgvEFSfb1Te/vzTuiql6bZEtr7WOLWBsAACybUYJxDZnXjiysWpfkF5P82Ak3VHVLVe2sqp2PPfbY6FUCAMASGyUY70+ypW/6wiQH+qZfmuSbk9xdVQ8neV2SO4adgNdae29rbXtrbfumTZtOvmoAAFhkowTjTye5pKpeVVUbktyY5I7Zha21r7XWzm2tbW2tbU1yT5LrW2s7l6RiAABYAicMxq21w0luTfKJJA8k+WhrbXdVvauqrl/qAgEAYDmsH6VRa+3OJHcOzLttnrY7XnxZAACwvPzyHQAARDAGAIAkgjEAACQRjAEAIIlgDAAASQRjAABIIhgDAEASwRgAAJIIxgAAkEQwBgCAJIIxAAAkEYwBACCJYAwAAEkEYwAASCIYAwBAEsEYAACSCMYAAJBEMAYAgCSCMQAAJBGMAQAgiWAMAABJBGMAAEgiGAMAQBLBGAAAkgjGAACQRDAGAIAkgjEAACQRjAEAIIlgDAAASQRjAABIIhgDAEASwRgAAJIIxgAAkEQwBgCAJIIxAAAkEYwBACCJYAwAAEkEYwAASCIYAwBAEsEYAACSCMYAAJBEMAYAgCSCMQAAJBGMAQAgiWAMAABJBGMAAEgiGAMAQBLBGAAAkgjGAACQRDAGAIAkgjEAACQRjAEAIIlgDAAASQRjAABIIhgDAEASwRgAAJIk68ddwCSY6bTcvedgdh94Mlecf1Z2XLo5U+tq3GUBANBHMF5iM52WN7/v3uzadyjPTs/ktA1T2bZlY26/+WrhGABgBTGUYondvedgdu07lGemZ9KSPDM9k137DuXuPQfHXRoAAH0E4yW2+8CTeXZ6Zs68Z6dncv+BJ8dUEQAAwwjGS+yK88/KaRum5sw7bcNULj//rDFVBADAMILxEttx6eZs27IxNTOdtE5O740x3nHp5nGXBgBAn5GCcVVdW1V7qmpvVb19yPJ/XFX3V9Xnq+quqrpo8UtdnabWVW6/+epsevC3s3H/p/JLN73WiXcAACvQCYNxVU0leU+S65JcnuSmqrp8oNlnk2xvrf2lJL+R5OcWu9DVbGpd5fRDD2Xjl+7JNZedJxQDAKxAo/QYX5Vkb2vtodbadJIPJ7mhv0Fr7fdaa8/0Ju9JcuHilgmsRDOdlrseeDTvvuvB3PXAo5nptHGXBAAnbZTrGF+QZF/f9P4kVx+n/c1JPv5iigJWPtfoBmCtGaXHeNgn3NBuoar6O0m2J/n5eZbfUlU7q2rnY489NnqVwIrjGt0ArDWjBOP9Sbb0TV+Y5MBgo6p6Q5KfTHJ9a+35YRtqrb23tba9tbZ906ZNJ1MvsEK4RjcAa80owfjTSS6pqldV1YYkNya5o79BVb02ya+mG4p1F8EEcI1uANaaEwbj1trhJLcm+USSB5J8tLW2u6reVVXX95r9fJIzk/zHqtpVVXfMszlgjXCNbgDWmlFOvktr7c4kdw7Mu63v8RsWuS5ghZu9Rvfrv+fmTJ+xOb/wzh/Njks3O/EOgFVrpGAMMMzsNbpPP/RQrrnsvHGXAwAvip+EBgCACMYAAJBEMAYAgCSCMQAAJBGMAQAgiWAMAABJBGMAAEjiOsZr2kyn5e49B7P7wJO54vyz/PgCAMBxCMZr1Eyn5c3vuze79h3Ks9MzOa33c72333y1cAwAMIShFGvU3XsOZte+Q3lmeiYtyTPTM9m171Du3nNw3KUBAKxIgvEatfvAk3l2embOvGenZ3L/gSfHVBEAwMpmKMUadcX5Z+W0DVN5pi8cn7ZhKpeff9YYq4LFYfw8AEtBMF6jdly6Odu2bMwf/umX09atz+mnnpJtWzZmx6Wbx10avCjGzwOwVAylWKOm1lVuv/nqbHrwt7Nx/6fySze9VnBgTTB+HoClIhivYVPrKqcfeigbv3RPrrnsPKGYNcH4eQCWimAMrCqz4+f7GT8PwGIQjIFVZXb8fM1MJ62T03tjjI2fB+DFEoyBVcX4eQCWiqtSAKvO7Pj50w89lGsuO2/c5QCwRugxBgCA6DEGAOA4Wmt9j/vmH6/dnPnd+1OmKlUre9ibYAzAmtD/obwSvNhyZlcfFjZmZ7UMDyyD07Ptjq7X364du+3WXae/fWutd9+3zZZj5rXW176/hhG2OVjdfCHsRPs/bN8H5y+WxdjmvPsx53mOHzoHl5zo2I2+zcVzxQVn5ayXnLI0G18kgjGwqrTW0mlHP2Sfe2EmrSWdIx+w3eWzH+zdtt1lnXb0g7zTjn6AdzpHQ8Mx2+l9kHf6PtRnn3tuXSeqe2D6BOsfryfmeO1Gq2n+tY63H/MtOu46C6x7hWXbidHptOzadygPP/50tp5zRrZt2Zh1TmhlAgnGLImZTsvdew5m94Enc8X5Z2XHpZtdNWBCzHRaOq0due+07rx2ZF7mLu/0pltLp3O0fXfdgenObFhNvv7cC0mSz37x0Bj3Fla/TqflZz7+QPYefCrThzvZsH5dLt58Zt5x3WXCMRNHMGbRzXRa3vy+e7Nr36E8Oz2T03rXmV2OS2r1f3U32+s3+7i7fHZZO7aHbsiywa8y53zlN/BV3nzPO/i147D5w55v2NeC87ad0274V6b9vZxHlr2I4zH7+OvPHU6S3PvQ40dCK7B67Np3KHsPPpXnD3eSJM8f7mTvwaeya9+hXHnR2WOuDpaXYDzhOp2jXzEf+Wq57+vkTmtpnaNfSc+2S++r5SPtOu1I8PrU3q/ms198Is++0H2TfWZ6Jvd98Yn8h3seydWvfvmcUDYndA0Esf7xZ0eX9y+bnT9sjBrLZfY/AUIxrE4PP/50pnuheNb04U4efvxpwZiJIxivEq21HO50v36e6XQfd2bv29zpmb7b088fTkty3xef6IXeo2MulyrIfPaLh/LcC3PfZJ9/oZMvfOlr+abzXro0TwrASdl6zhnZsH7dkR7jJNmwfl22nnPGGKuC8RCMl9FMp+Vrz7yQmdZyuNNJp5O59+3YYDt7O9kQO9Nb8fmBoLqUJvVN1skrwGq0bcvGXLz5zOz+4leTqfU59ZT1uXjzmdm2ZeO4S4NlJxgvk5bk6ecP5/4vPznuUpbcJL7JOnkFWK3Wrau847rL8oP/6Mcyc+Z5ufVtt/iPPYtqtuPof+x9LFe+8uwVfUK+YMyiG+eb7Lh6bcd58oqeauDFWreusuHxvcnje3PlRT8+7nJYQwY7jpbzhPyTIRizJMbxJjvOXttxnbyipxqAlWyw4+iZ6Zns2ncod+85mGsuO2/M1R1r3bgLgMXS/8fXMrfXdqnNjqvutxzjqse5zwBwIsM6jp6dnsn9B1bm0FLBmDXjeL22S212XHUOTyetk1N7PbdLPa56nPsMLL5Op+W+R57Ib963P/c98sSRX2WE1WpYx9FpG6Zy+flnjami4zOUgjVjnFfDGNe46km9AgisRYZGsRYNnpB/+qmnZNuWjdlx6eZxlzaUHmPWjHH12s6aHVd92iOfypUXnb0sH2Tj3mdg8RgaxVo023F05v2/lbP2fSq/dNNrV+yJd4lgzBrS/8d32p//Qf7hX79kzfe0TOI+w1o1iUOjJnHoyCTu82zH0cv2/2Guuey8FRuKE0MpWGMm8ZJDk7jPsBZN2tCoSRw6Mon7vNroMQaAFWDShkZN4tCRce/zJPZWL5QeYwBYASbtF+jGdf33cRrnPuutHo0eY4AR6W1hqY3jJN5xGdf138dpnPs87t7q1UKPMcAI9LbA4hq8jNepp6xf00NHkvHu8yT20J8MPcYAI9DbAotrEq+qM859nsQe+pMhGAOMYBIvpQVLbZKGjswa1z5P2smdJ0swBhiB3hZgNZvEHvqTIRgDjGDcvS3jOvHPCYewdkxiD/1COfkOYATjvJTWuE78c8IhMGn0GAOMaFy9LeM68c8Jh8CkEYwBVrhxnfjnhENg0gjGACvcuE78c8IhMGkEY4AVblwn/o37hEOA5SYYA6xw47rMkss7AZNGMAZYBcZ14p/LOwGTRDAGAIC4jjEAzNHptOzadygPP/50tp5zxrJdrxoYP8EYAHr8qAlMNkMpAKDHj5rAZBOMAaDHj5pMjk6n5b5Hnshv3rc/9z3yRDqdNu6SWAEMpQCAntkfNXm+Lxz7UZO1x5AZ5qPHGAB6/KjJZDBkhvkIxgDQ40dNJoMhM8xnpGBcVddW1Z6q2ltVbx+y/NSq+khv+b1VtXWxCwWA5eBHTda+2SEz/QyZIRkhGFfVVJL3JLkuyeVJbqqqywea3ZzkidbaxUl+McnPLnahAACLwZAZ5jNKj/FVSfa21h5qrU0n+XCSGwba3JDkg73Hv5HkmqryX2wAYMUxZIb5VGvHvzxJVb0pybWttb/Xm35zkqtba7f2tflCr83+3vSf9dp8db7tvvyiy9q3v+P9i7ALC7Prc7uSJNtes23Zn3dmpuWSy795WZ/3wfu/kCTL/rzjfG77vLwmbZ8d68ng33ntP+84n3tS93lqXWXbtuXNX7M++ra//JnW2vYTtRslGP+NJN85EIyvaq39cF+b3b02/cH4qtba4wPbuiXJLUly5iu+8X9940/dvrC9WuWefO6FcZcAsKpMYiiHteqMDeszNaZe+VGD8SjXMd6fZEvf9IVJDszTZn9VrU/ysiR/Mbih1tp7k7w3SbZv394+8oOvH+Hp14aZTssf/fkxhwSA4/ihX/+JJMlt//SOMVcCvFhXXHBWznrJKWN57o++bbR2o4wx/nSSS6rqVVW1IcmNSQbfoe5I8tbe4zcl+d12oq5oAABYQU7YY9xaO1xVtyb5RJKpJO9vre2uqncl2dlauyPJ+5LcXlV70+0pvnEpiwYAgMU20k9Ct9buTHLnwLzb+h4/l+RvLG5pAEyyTqdl+pyLM3PmebnvkSeybctGVw0AltRIwRgAllOn0/IzH38gT13+3cnU+rz7dx/MxZvPdEktYEn5SWgAVpxd+w5l78GnkvUbklqX5w93svfgU9m179C4SwPWMMEYgBXn4cefzvThzpx504c7efjxp8dUETAJBGMAVpyt55yRDevnfkRtWL8uW885Y0wVAZNAMAZgxdm2ZWMu3nxmTl2/LpXk1PXrcvHmM7Nty8ZxlwasYU6+A2DFWbeu8o7rLsuufYfy8ONPZ+s5Z7gqBbDkBGMAVqR16ypXXnR2rrzo7HGXAkwIQykAACCCMQAAJBGMAQAgiWAMAABJBGMAAEgiGAMAQBLBGAAAkgjGAACQRDAGAIAkgjEAACQRjAEAIIlgDAAASQRjAABIIhgDAEASwRgAAJIIxgAAkEQwBgCAJIIxAAAkEYwBACCJYAwAAEkEYwAASCIYAwBAEsEYAACSCMYAAJAkWT/uAibF1LrKa1+5MTOdlsOdls7sfZs7PdO7He500umke99aDs+0dNq49wIAYO0SjJfRS06ZelHrtzY3PM+0lpmZ3n1n7u1I6J7p3ndaS2vpPU6S7n2n09KSNKEbAJhwgvEqUlU5ZaryIvP1UK0XmGfvO72k3BmYP+y+DbSbDeCtpRe6+8N3OxLCZ+e13ryj8/va9JYffTy4vaPbPLK93gKBHwBYCMGYJN3QPVVJUuMuZUkcCctzQvnRAD13WTsmUA8N7YPb7muXedoPa9vS+toffb7B/xDMPtew2uZre+z+HXschm1jlOPR3372W4lOS2Y6x7YHgNVAMGYiVFXvfs7csdQyCVo7Otyn9cJyp7V0Ot0QPdO64+o7LX2PW6/d0aA9G7KPbqtlpnP0GwkAWEyCMbDoqirrp2pJ32Bmw/Rs7/vs8J8jQ3lydMhPej3cg8N/Zjvr+4f+dDrH2c7AsJ1+LXNnzPetw6jtB823fHA7o61zvOc5zvaOu97C1zrePi/1/3uW+z9Wxzuu865zZN3FrQWYn2AMrErr1lXW6fVnwgwbFnbMsiPTfcsGhkrN3eaxbfrP5zjSpu+ckNnnGTznY3Zo2JFzPoZts7+ugW3Ot0/Hzj927vzbOPY4DM5/MRZjO6PUNcp+LOzYzV1y7H/e53nugYbzb3t1EowBYJUYPiwn3FHuAAAGsklEQVTsyNJlrQVOZE44b90OjZVOMAYAYNFV3//ghv9nbuXxy3cAABDBGAAAkgjGAACQRDAGAIAkgjEAACQRjAEAIIlgDAAASQRjAABIIhgDAEASwRgAAJIIxgAAkEQwBgCAJIIxAAAkEYwBACCJYAwAAEkEYwAASCIYAwBAEsEYAACSJNVaG88TVz2W5JGxPHlybpKvjum5VyPHa2Ecr4VxvBbG8VoYx2thHK+FcbwWZpzH66LW2qYTNRpbMB6nqtrZWts+7jpWC8drYRyvhXG8FsbxWhjHa2Ecr4VxvBZmNRwvQykAACCCMQAAJJncYPzecRewyjheC+N4LYzjtTCO18I4XgvjeC2M47UwK/54TeQYYwAAGDSpPcYAADDHmg3GVXVtVe2pqr1V9fYhy0+tqo/0lt9bVVuXv8qVoaq2VNXvVdUDVbW7qv7RkDY7quprVbWrd7ttHLWuJFX1cFX9ce947ByyvKrq3b3X2Oer6spx1LkSVNWlfa+dXVX1ZFX9yECbiX6NVdX7q+pgVX2hb97Lq+p3qurB3v3Z86z71l6bB6vqrctX9fjMc7x+vqr+pPf39p+rauM86x73b3ctmud4/XRVfanvb+6N86x73M/TtWie4/WRvmP1cFXtmmfdSXx9Dc0Rq/I9rLW25m5JppL8WZJXJ9mQ5HNJLh9o8w+S/Jve4xuTfGTcdY/xeL0iyZW9xy9N8qdDjteOJB8bd60r6Zbk4STnHmf5G5N8PEkleV2Se8dd80q49f4+v5LuNSX750/0ayzJtyW5MskX+ub9XJK39x6/PcnPDlnv5Uke6t2f3Xt89rj3Z0zH6zuSrO89/tlhx6u37Lh/u2vxNs/x+ukk/+QE653w83Qt3oYdr4Hlv5DktnmWTeLra2iOWI3vYWu1x/iqJHtbaw+11qaTfDjJDQNtbkjywd7j30hyTVXVMta4YrTWvtxau6/3+OtJHkhywXirWhNuSPLvW9c9STZW1SvGXdQKcE2SP2utjesHflak1trvJ/mLgdn971MfTPLdQ1b9ziS/01r7i9baE0l+J8m1S1boCjHseLXWPtlaO9ybvCfJhcte2Ao1z+trFKN8nq45xztevazwvUk+tKxFrWDHyRGr7j1srQbjC5Ls65ven2OD3pE2vTfSryU5Z1mqW8F6Q0pem+TeIYtfX1Wfq6qPV9UVy1rYytSSfLKqPlNVtwxZPsrrcBLdmPk/ULzG5jqvtfblpPvBk2TzkDZeZ8P93XS/sRnmRH+7k+TW3tCT98/zNbfX17G+NcmjrbUH51k+0a+vgRyx6t7D1mowHtbzO3j5jVHaTJSqOjPJf0ryI621JwcW35fuV9+vSfJLSX5ruetbgb6ltXZlkuuS/FBVfdvAcq+xAVW1Icn1Sf7jkMVeYyfH62xAVf1kksNJfm2eJif6250Uv5LkG5NsS/LldIcHDPL6OtZNOX5v8cS+vk6QI+Zdbci8sb3G1mow3p9kS9/0hUkOzNemqtYneVlO7mumNaGqTkn3xfxrrbXfHFzeWnuytfZU7/GdSU6pqnOXucwVpbV2oHd/MMl/Tvcrx36jvA4nzXVJ7mutPTq4wGtsqEdnh9/07g8OaeN11qd34s53JfnbrTeAcdAIf7sTobX2aGttprXWSfJvM/w4eH316eWF70nykfnaTOrra54cserew9ZqMP50kkuq6lW9Hqobk9wx0OaOJLNnPr4pye/O9ya61vXGS70vyQOttf93njbfMDsGu6quSve18/jyVbmyVNUZVfXS2cfpnvTzhYFmdyR5S3W9LsnXZr9SmmDz9rR4jQ3V/z711iT/ZUibTyT5jqo6u/dV+Hf05k2cqro2yY8nub619sw8bUb5250IA+c8/B8ZfhxG+TydJG9I8iettf3DFk7q6+s4OWL1vYeN66y/pb6le0WAP033bNqf7M17V7pvmEnyknS/zt2b5I+SvHrcNY/xWP2VdL+2+HySXb3bG5O8Lcnbem1uTbI73TOS70nyl8dd95iP2at7x+JzveMy+xrrP2aV5D291+AfJ9k+7rrHfMxOTzfovqxvntfY0WPxoXS/zn4h3R6Um9M97+GuJA/27l/ea7s9yf/Xt+7f7b2X7U3y/ePelzEer73pjlWcfR+bvfLQ+Unu7D0e+re71m/zHK/be+9Nn083wLxi8Hj1po/5PF3rt2HHqzf/A7PvWX1tvb7mzxGr7j3ML98BAEDW7lAKAABYEMEYAAAiGAMAQBLBGAAAkgjGAACQRDAGAIAkgjEAACQRjAEAIEny/wO0EMuBzobziQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(12, 8))\n",
    "sm.graphics.tsa.plot_acf(Birth_data, lags=20, ax=ax);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From this ACF plot, here show slightly autocorrelation in the first lag. We can ignore it. So, in our demonstration, we *assume* that there is no autocorrelation in **Daily Female Births Dataset**. So, to check the trend in this dataset, we can use the *Original Mann Kendall test*. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Mann_Kendall_Test(trend='increasing', h=True, p=1.144585319856617e-07, z=5.302131199455321, Tau=0.18569923227457474, s=12336.0, var_s=5412244.0, slope=0.019230769230769232)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mk.original_test(Birth_data, alpha=0.05)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From this result, we can say that there is a significant trend in this dataset. Because the **p-value** is smaller than **alpha=0.05** and **h=True**. The trend is **increasing** and the value of trend/slope is **0.019230769230769232**."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Shampoo Sales Dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>Sales</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Month</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1-01</th>\n",
       "      <td>266.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1-02</th>\n",
       "      <td>145.9</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1-03</th>\n",
       "      <td>183.1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1-04</th>\n",
       "      <td>119.3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1-05</th>\n",
       "      <td>180.3</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       Sales\n",
       "Month       \n",
       "1-01   266.0\n",
       "1-02   145.9\n",
       "1-03   183.1\n",
       "1-04   119.3\n",
       "1-05   180.3"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Shampoo_data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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iIiIi2qxb0wpz34kGsnXRpRKinzkzhm31Nrx1r3vjN+towxAtpbwJYEII0atcehuAVwEcB/Bh5dqHATynfH8cwK8pXToeABBUyz6IiIiIqHj8oRgMAmhy5BeiuxrtmFtMYDGe0mlluRmdieDkyCx+5f4umIzF7dRsyvF9Hwfwj0IIC4DrAH4D2QD+z0KIjwAYB/B+5b3fB/BOACMAosp7iYiIiKjIstMKrTDmOK1Q5WmsAZBtc7e3rU6PpeXkmTNjMBsFnri3eAcKVTmFaCnlBQDH1njpbWu8VwL42BbXRUREREQamw7H4M6zlAO41St6fK54ITqaSOHZc148erAdLXkcjNQLJxYSERERVQl/KJ73oUJgRYguYl308QuTCMdS+NUHi3ugUMUQTURERFQl/OF43ocKAaC+xgyn1VS0w4VSSnzt9Bj2tjlxbHtDUdawGkM0ERERURVIpTOYW4yjZRM70UKIbIeOheL0ij4/HsCrUyF86IHtECK/em69MEQTERERVYHZSAJS5t/eTtXVaC9aOcczZ8bgsJrw3r475vcVDUM0ERERURW4Na0w/51oAOhqyvaKzmTumKGnq7lIHN8bnML77ulArTXXxnL6Y4gmIiIiqgK3phVubifa01CDeCqDmUhcy2Vt6J/PepFIZ/ChIk8oXI0hmoiIiKgK+MPZnejWus3tRHuUDh2FPFyYzkg8c2YMD+xqRE+rs2DPzQVDNBEREVEVmA7FIQTQ7LBs6vPFaHP3ymvz8AWW8MH7S2sXGmCIJiIiIqoKM+EYmmqtmx6X3dFQAyEKG6JPjczCIIA39bYU7Jm5YogmIiIiqgLTofim66EBwGoyoq3Ohon5wrW5OzU6h0Md9aizmQv2zFwxRBMREREVSHApiWA0WZRn+zc58nslT6O9YDXR0UQKFyYCeHB3c0Gely+GaCIiIqIC+eQ3+/HRb5wryrP9oThaN9neTlXIXtGvvLaAVEbiod1NBXlevkqn2R4RERFRBctkJM6+tgCI7BjrQk7eS2ckZiPxre9EN9hxMxRDLJmGzWzUaHVrOzU6C7NR4NiO0hjzvRp3oomIiIgKYHw+inA8hXAshZlwYXstz0XiyEjAvcn2dqquphoAgC+gf1306dE5HPW4YLeU5p4vQzQRERFRAVz0BZe/H/ZHCvrs6dDWBq2oCtXmLriUxJAvWLL10ABDNBEREVFBDE0GoVZwjBQ4RKuDVrYaogs1cOXlG/PISJRsPTTAEE1ERERUEEO+IA5sq4PTZsKwP1zQZ6sjvzc7rVDV4rDCZjZgfE7fEH1qdBZWkwF9XS5dn7MVpVlkQkRERFRBpJQY8oXwzkNtsBgNBd+Jng5ld6KbHVvbiRZCwNNgx8SCviH69Ogc7t3RCKtJ38OLW8GdaCIiIiKdeReWEFxK4mBHPbrdjiKUc8TRVGuBxbT16Jdtc6ffwcK5SBxXbobxYAmXcgAM0URERES6G1IOFR7cVo8etxOzkQQWFhMFe74/FEPLFuuhVerAFSmlJvdb7cz1eQBgiCYiIiKqdhd9QZgMAr1tTnS7HQCAkZnC7Ub7w/Et10OrPI12ROIpBHSavHhqdBYOqwmHO+p1ub9WGKKJiIiIdDY0GUJPqxM2s/FWiC5gScd0KLblzhwqvdvcnR6dw307G2EylnZMLe3VEREREZW57KHCIA511AEAOlw1qDEbMTxdmBCdnVaY2PK0QpWeIfpmMIbrs4t4cFdpl3IADNFEREREupoKxjC/mMBBpTzBYBDY7a4tWDnH/GIC6YzUrJyjsyE7tVCPEH36+iyA0q+HBhiiiYiIiHSlTio8uKLGt7vFgZHpwvSKVtvbaVXOUWs1odlhgVeHNnenRuZQX2PG/vY6ze+tNYZoIiIiIh1d8gVhEMC+tlvBsKfViclgDJF4SvfnzyiDVtwa7UQD2cOFWu9ESylxanQOD+5qgsEgNL23HhiiiYiIiHR00RdEj9uJGsutwSG7W7KHC0cLcLhQ651oAPA0aB+iJ+aX4Ass4aHu0i/lABiiiYiIiHQ1NBnCgY7byxN6WgvXoUMd+a1Vn2gge7hwMhBDKp3R7J7L9dBlcKgQYIgmIiIi0s10KIaZcByHVvU83t5oh9koMFyQEB1Dg92s6QjtrkY70hmJqWBMs3ueGp1Ds8O63AKw1DFEExEREelkaI1DhQBgMhqws7m2IDvR06E43E7t6qGBbE00oF2HDrUe+qHdTRCi9OuhAYZoIiIiIt0M+UIQAmt2m+hxOzHi179Dhz8c16xHtMrTqG2bu9GZCGbCcTxUBq3tVAzRRERERDq56AtiV3Mtaq2mO17b7XZgfD6KWDKt6xr8oZjmO9Ht9TUwGQQmNArRp0fnAJRHf2gVQzQRERGRTi5NBu+oh1b1uB3ISODG7KJuz89kJGZ02Ik2GgQ6G2o024k+NTqHDlfN8jTEcsAQTURERKSD2UgcU8HYHfXQKvUAnZ510QvRBFIZiVYNO3OoPI12TXaiMxmJ09fn8GAZ1UMDDNFEREREuljvUKFqZ3MtDAK6duiYDmk/aEWl1cCVyzdDCESTZVUPDTBEExEREelCDdH7t609wtpmNqKr0a7r4UJ/ONuCrlXjcg4g2+ZuIZpEOJbc0n3KsR4aYIgmIiIi0sWQL4SdzbWos5nXfU+326lrOYdf3YnW+GAhgOX65Yn5pS3d5/ToHHY216K9vkaLZRUMQzQRERGRDi76gjiwzi60qtvtwI3ZRU0n/62k7kRrOa1Q5WnYeq/oVDqDl27Ml90uNMAQTURERKS5hcUEfIGldeuhVT1uB5JpiTGNulys5g/HUV9jhs2s3bRClboT7V3Y/Nov+oKIxFNlVw8NMEQTERERaW5oMlsPvV57O5XaoWN4Wp+SjulQDG4ddqEBoN5uRp3NtKWd6FNKPfQDuxiiiYiIiKrekC8EABuWc+xWQvTojD4h2h+Oo1WHzhyqrqatdeg4c30Ova1ONDv0Cfp6YogmIiIi0tiQLwhPYw1cdstd3+ewmrCt3obhaX06dPhDcd12ooFsXfRmQ3Q8lcYrr5VnPTTAEE1ERESkuaHJIA5uu3sph6q71YkRHXaipcxOK2zRob2dqqvRDu/CEjIZmfdnL4wHEEtmyrIeGmCIJiIiItJUcCmJsbnohocKVd0tDoz4I5sKoncTiCaRSGfQqkN7O5Wn0Y5EKgN/OJ73Z0+NzsEggPvLsB4aYIgmIiIi0tSlybtPKlytp9WBWDIDX2Br/ZZXm1ba27l13In2NG6+zd3p63M4sK0e9TXr99EuZQzRRERERBpaHve9waFCldqhQ+uhK+qgFV0PFm4yRC8l0ugfXyjbUg6AIZqIiIhIU0O+ELbV29CUY8eJ7hZ9QvR0SNmJ1vFgYYerBkIAE3mG6LNj80imZdkeKgQYoomIiIg0NeQL5lzKAQANtRY0OywY9mvboUOtU9Zj5LfKYjJgW31N3iH61OgcTAaBe3c06rQy/TFEExEREWkkHEvi+uxiXiEayJZ0aF/OEYPTZkKNRftphSt1NtTkXc5xenQORz0u1FpNOq1KfwzRRERERBp5dTI7ZGWjSYWrdbsdGPZHIKV2HTr8YX17RKu6Gu2YyGP0dyiWxKA3UNalHABDNBEREZFmhpQQfaAjt0OFqh63E+FYCjObaBW3Hr2nFaq6Gu2YDsURS6Zzev8rN+aRkWCIJiIiIqKsS74gWuusedch9ygdOoY1LOmYDsUKshOttrnz5rgbfWp0DhaTAfd0Nei5LN0xRBMRERFp5KIv90mFK2nd5k5KWbCd6Hx7RZ8encOx7Q2wmfWt1dYbQzQRERGRBqKJFEZnInkfKgSAFqcVdTaTZh06gktJJFIZtBSoJhoAJuY3HhazsJjAq1MhPFimUwpXYogmIiIi0sDlqRAyMvdJhSsJITTt0LHc3q4AO9HNDgtqzMacdqLPXJ8DADzUzRBNRERERMgOWQHy78yh6nE7tQvR6rTCAuxECyHgacytzd2p0TnYLUYc7nTpvi69MUQTERERaeCiL4hmhwWtdZsLrt1uB2YjCSwsJra8luVphQXYiQaUNnc5hOjT1+dw385GmI3lH0HL/zcgIiIiKgHqpEIhxKY+392qHC6c2fpu9K1phfrvRAPZw4UT89G79rn2h2IY8UfwUJm3tlMxRBMRERFtUSyZxrA/sqnOHKruFu06dEyHYnBYTQWbCNjVaMdiIo35u+yin1bqoR/c1VyQNemNIZqIiIhoi67cDCOdkZs6VKjqcNWgxmzE8PTWQ/RMgaYVqjwNG7e5OzUyhzqbCfu35TeIplQxRBMRERFt0UVfEABwMM9JhSsZDAK73bUalXPE4N5kbfZmdDUpbe4W1m9zd+r6LB7Y1QSjYXPlLqUmpxAthHhNCHFRCHFBCHFWudYohHhBCDGsfG1QrgshxNNCiBEhxKAQ4h49fwEiIiKiYrvkC8JlN6PDVbOl+/S4nRiZ3nqv6OlQPO+piVuh7kSvd7hwYj6KifmliqmHBvLbiX6LlPKolPKY8vNnALwopewB8KLyMwA8CqBH+etJAH+r1WKJiIiIStFFXxCHtnCoUNXtdmAyGEMkntr0PbLTCmOb7hKyGTUWI5odVozPrR2il+uhd1dGPTSwtXKOxwB8Vfn+qwAeX3H9azLrDACXEKJ9C88hIiIiKlnxVBrXpsM4sIVDhSp1/PfoFg4XhmIpxJKZgu5EA0DXXXpFnx6dQ1OtBXuUDiSVINcQLQH8hxDinBDiSeVaq5RyCgCUr27legeAiRWf9SrXiIiIiCrOtZsRJNNy00NWVlJD9FY6dMyE1R7RhduJBpRe0Qt3hmgpJU6NzuLB3U1b3qkvJbn2PXm9lHJSCOEG8IIQ4spd3rvWfzp3NA1UwviTANDV1ZXjMoiIiIhKy9Dk1g8VqrY32mE2CgxvIUSr0woLvxNtx/GBSSTTmduGqdyYXcR0KI6HKqiUA8hxJ1pKOal89QP4NoD7AEyrZRrKV7/ydi8Az4qPdwKYXOOeX5ZSHpNSHmtpadn8b0BERERURBd9QThtJnQ12rd8L5PRgJ3NtRjxb/5w4XSRdqI7G+3ISGAycHuHjlOjaj105RwqBHII0UKIWiGEU/0ewDsADAE4DuDDyts+DOA55fvjAH5N6dLxAICgWvZBREREVGku+YI4uG3rhwpVPW7nlso51J3o1gKN/Fapf4iYmL89RJ8enUN7vQ07mrb+h4xSkstOdCuAk0KIAQAvA/ielPIHAJ4C8IgQYhjAI8rPAPB9ANcBjAD4/wB8VPNVExEREZWAZDqDyzfDONS59Xpo1W63A+PzUcSS6U19fjoUh91ihKNA0wpVaoheebgwk5E4fX2u4uqhgRxqoqWU1wEcWeP6HIC3rXFdAviYJqsjIiIiKmHD0xEkUhkc0HAKX4/bgYzM1hLva8//vv5wrKDTClWtdTaYjeK2EH3NH8b8YqLi6qEBTiwkIiIi2jT1UKEWnTlUaoeOzR4u9IfjcBe4lAMAjAaBzgb7bQNXTo1UZj00wBBNREREtGlDviAcVhN2NNVqds+dzbUwiM23ufOHirMTDQCeVW3uTo3OYXuTfcuTHEsRQzQRERHRJg35gti/rQ4Gg3b1vjazEV2N9k116MhOK4wX/FChauXAlXRG4qUbcxU16nslhmgiIiKiTUilM3h1KoSDGkwqXK17kx06IvEUool08XaiG+wIRJMILiVxaTKIcCxVUaO+V2KIJiIiItqE67OLiCUzONSp3aFCVU+rAzdmF5FKZ/L6nD9cnPZ2qltt7qK3+kPv4k40ERERESkuepVJhXrsRLc4kExLjM3fOUb7bm5NKyxeTTQAeBeyIbrH7UBLkdaiN4ZoIiIiok0YmgyixmzErhaH5vfuaVU6dEznV9LhL9K0QpUaokdnFvHKjfmKrYcGGKKJiIiINkU9VGjU8FCharcSzEdn8gzR6k50kco56mvMqK8x47sDk1hKpiu2HhpgiCYiIiLKWyYjcWkypGl/6JVqrSZ0uGowPJ1fh47pUAw2swHOAk8rXKmr0Y4rN8MQAnhgV2PR1qE3hmgiIiKiPF2fXUQ0kdZ0UuFqu90OjOS7E620tyvmiG31cOGBbXVw2S1FW4fA8HncAAAgAElEQVTeGKKJiIiI8nRJnVTYqc9ONJAd/z3ijyCTkTl/ZrqIg1ZUnY3ZwSqV2pVDxRBNRERElKeL3iCsJgO6dThUqOp2OxBLZuALLOX8mZlwHG5nceqhVepO9EMVXA8NAMUrmCEiIiIqU0OTQexrr4PJqN9+ZI87G9BH/JHlrhcb8YfjeFNvcXeif+5AG8bno3iomzvRRERERKTIZCQu+UI42KFfPTSQ3YkGkPPkwsV4CpF4qug70c0OK37/0X2wmoxFXYfeGKKJiIiI8jA+H0U4ntJlyMpKLrsFzQ4rhv25dei4Na2wMoeblBqGaCIiIqI8XPQpkwp1am+3Ure7Nued6OmQMmilyDvR1YIhmoiIiCgPQ5NBWIwG7Gl16v6sHrcTw/4IpNy4Q4e6E12saYXVhiGaiIiIKA9DviB625ywmPSPUd1uB8KxFGaUgHw3fmUnupU70QXBEE1ERESUIyklhgpwqFCldugYzqGkwx+Ow2IyoK6GzdcKgSGaiIiIKEfehSUEl5IFqYcG8uvQ4Q/F0FpnLeq0wmrCEE1ERESUoyH1UKHOnTlULU4r6mymnDp0TIeKP2ilmjBEExEREeVoaDIIk0Ggt03/Q4UAIIRAtzL+eyP+cPFHflcThmgiIiKiHF30hdDT6oTNXLhBIj1uZ44hOo7WOu5EFwpDNBEREVEOpJS45AviUIEOFaq63Q7MRhJYWEys+56lRBrhWAot3IkuGIZoIiIiohxMBWOYW0wU7FChqrtVOVw4s/5utD+stLfjTnTBMEQTERER5WCogJMKV+pu2bhDx3RIGbTCneiCYYgmIiIiysGQLwiDAPa1Fbaco8NVgxqzEcPTG+9Ec1ph4TBEExEREeVgaDKEHrcTNZbCHSoEAIMh26Hjbm3u/MpONKcVFg5DNBEREVEOLvqCOFDgQ4WqbrcDo3cr5wjHYDEa4LKbC7iq6sYQTURERLQBfyiGmXAchwpcD63qdjswGYwhEk+t+fpMKI4WJ6cVFhJDNBEREdEGLhbpUKFKHf+93m70dDjGeugCY4gmIiIi2sCQLwQhgP3txSnn6FFC9PA6IdofirMeusAYoomIiIg2cNEXxK7mWtRaTUV5flejHRajYd02d/5wnDvRBcYQTURERLSBS5PBotVDA4DJaMDO5lqMrNGhI5ZMI7iUZI/oAmOIJiIiIrqL2UgcU8FY0eqhVd1ux5o70TNhZdAKpxUWFEM0ERFRFUmmM8uT9yg3xZpUuFq324Hx+ShiyfRt16dDyqAV7kQXFEM0ERFRFfnGS+N491+dxPhctNhLuU0mI/H3P7uxPHmvlKghev+24hwqVHW7HchI4Mbs4m3X/cpOdCt3oguKIZqIiKiK/PiqH1IC58bni72U2wx4A/jj776Kj3+jH+mMLPZybjPkC2Fncy3qbMUdZNLTunaHDu5EFwdDNBERUZWIp9I4cz0bnvvHA0Veze3U9bx0Yx5f/MlokVdzy1RwCadGZ3G4s7ilHACws7kWBoE76qL94ThMBoEGu6VIK6tODNFERERV4vxYAEvJNGxmQ8mF6PPjC9hWb8MvHG7H51+4hgsTxV9fMp1Z3hn/xNt6ir0cWE1GbG+6s0OHPxSH22mFwcBphYXEEE1ERFQlTo7MwGgQ+KVjHlyeCmEpkd74QwXSPx5A3/YG/Nl7D6G1zobf+Wb/uiOuC+W//cdVnB1bwP/1Px3C7hZHUdei2t1yZ4cOfziGFtZDFxxDNBERUZU4OTyLox4X3tjTglRGYmiyNLp0+EMx+AJL6PO4UF9jxuefOIqJ+Sj+63OXiramFy9P40s/uY5fub8Ljx3tKNo6VutpdeDG7CJS6czytey0QtZDFxpDNBERURUIRBMY9AXxcE8zjna5AAD94wtFXlXWeaW05J7tDQCA+3Y24rff0o1/Pe/FdwcmC74eX2AJv/svA9jfXofP/sL+gj//brpbHEimJcbmb3VXmQ7HOK2wCBiiiYiIqsDPRuYgJfBwTzOaHVZ0NdpLpi66f2IBFqMBB1a0kPvE23rQ1+XCH3z7IrwLhWvHl0hl8NvfOI9UWuJvPngPbGZjwZ6di+UOHdPZko54Ko1ANAm3k+UchcYQTUREVAVOjszAaTXhSGd2F7qvy1U6IXosgAMddbCabgVWk9GALzzRBymBT33rwm3lC3r63A+uoH88gD9/32HsaK4tyDPzodZmj85kQ/TMco9o7kQXGkM0ERFRhZNS4sTwLB7Y3QSTMfuP/j6PCzdDMUwFl4q6tmQ6g0FfAH2ehjte62qy408fP4BXXlvA3/xY/7Z3/+PSTfzdyRv48IPb8a7D7bo/bzNqrSZ0uGowPJ3t0DEdUkZ+cye64BiiiYiIKtzYXBTehSW8sad5+VpfVza0Fns3+spUGLFkBn1KnfZq7+3rxONHt+ELLw7j3Jh+NdwT81H8b/8ygMOd9fiDd+3T7Tla2O12YGR5J1oZtMKd6IJjiCYiIqpwJ0ZmAQBv6GlZvravvQ4Wk6Hohwv7J7LPVw8VruVPHj+I9vps27tQLKn5GuKpND72jfMAgL/+lXtuKyspRT3ubJu7TEZyJ7qIGKKJiKisJdMZZEpsTHSpOXFtBh2uGuxosi9fs5gMONRRX/Sd6PNjC3A7rdhWv34IrLOZ8YUP9GEqGMNnvzOk+Rr+7+9fwaA3iP/nF4/A02jf+ANF1u12IJbMwBdYgj8cg9Eg0FTLaYWFxhBNRERlS0qJR79wAl94cbjYSylZqXQGp0fn8HBPM4S4faJdn8eFi74gEqnCHNpbS/9EAPd0NdyxttVet70Bn3hrD75zYRLf6fdp9vzvX5zCP5x6Db/5+p34+YNtmt1XTz3u7OHCEX8E/lAcLQ5OKywGhmgiIipbU8EYRvwRvHRjrthLKVkD3iDC8RTesKIeWtXX1YB4KoMrN0NFWBkwG4ljbC66bj30ah97y24c296A/+M7Qxif23rbu7G5Rfzes4M44nHhM4/u3fL9CqV7RYieDsdZD10kDNFERFS2Br3ZiXtXb4YhJUs61nJyeBZCAK/fvVaIVoeuFKek48KqISsbMRkN+IsPHIUQwCe/1b+ltnexZBof/cfzMBgE/vpX+mAxlU8kctktaHZYMewPwx+KsR66SMrn7xgiIqJVBr3ZELYQTWI2kijyakrTieEZHOqoR8MaNbPt9Ta01lmLdrjw/PgCTAaBQx31OX+ms8GOP3vvIZwfD+DpH45s+tn/5/dexaXJEP77+4+gs6H066BXUw8X+rkTXTQM0UREVLYGvUGYlFrQqzfDRV5N6QnHkuifCOAN3XfuQgOAEAJ9ngb0TxRnJ7p/PID92+ryngr4niPb8L57OvFXPxzGyzfm837u8YFJPHNmHE++cRfevr8178+Xgm63A9emI5hfTMDtZIguBoZoIiIqS1JKDHoDeOteNwDg6jRD9Gpnrs8jnZFr1kOr+rpcGJuLYi4SL+DKsgceB7wB9Hlyq4de7Y8fOwBPox2f+tYFBJdyb3s3OhPB7//rIF63vQH/5ed6N/XsUtDT6kAkngIAtNaxnKMYGKKJiKgsvTYXRSiWwlv3utFUa8E17kTf4eTwDGrMRrzuLjXH6tCVCwXejb42HUE0kc65Hno1h9WEL3ygD9OhGP7w2xdzqomPJdP42D+eh8VkwF/+ch/MxvKNQd3K+G8A3IkukvL9u4eIiKqaWg99uNOFPa1OXOFO9B1OjMzi/l2Ndx0ecqijHkaDKPjhwvNKHfZa475zddTjwqce2YPnB6fwr+c3bnv3R8cv4crNMP7fJ45im6tm088tBd2tt0I0d6KLgyGaiIjK0sBEEDazAXtaHehtc2J4OsyhKyv4Aku4PrO4bj20qsZixL525/LkwELpHw+g2WGBp3FrYfa33rQb9+9sxGefG8Jrs4vrvu/b/V5885UJ/K9v3o239Lq39MxS0OKwos5mAsCd6GJhiCYiorI06A3gwLZ6mIwG9LY5EU2k4QssFXtZJePk8AwA4OEVo77X0+dpwMBEEOkC/iGkf3wBRz0bD1nZiNEg8PknjsJkEPidb/YjuUbbuxF/GH/wb0O4b0cjfveRPVt6XqkQQqCn1QmDAJocDNHFwBBNRERlJ5XOYGgyiMOd2dZoe1qdAIArrItedmJ4Fm6nFXtW/Gv/9fR1uRCJpzDijxRgZcDCYgLXZxdxz/bNHSpcbZurBk+97zAGvEH8xX9eu+21aCKFj/7jedgtRjz9y30wlXEd9GqHO+uxo7kWRk4rLIrK+TuJiIiqxrA/glgygyOd2RCmBsVrrIsGAGQyEj8bmcUb1hj1vRb1cGGh+kWrhxi3Ug+92jsPteOJYx78zY9HcXr01gTLzz53CcP+CP7iA0fRVl9ZtcO/9/N78exvPVTsZVQthmgiIio7tw4VZneinTYzOlw13IlWXJoMYSGaxMN3aW230o4mO1x2c8EOF/aPL8AggCOe3Ies5OKz796PHU21+PQ/X0AgmsA/n53As+e8+PhbunMqayk3NrMRjWsM0aHCyDlECyGMQoh+IcTzys87hRAvCSGGhRDfEkJYlOtW5ecR5fUd+iydiIiq1YA3CKfNhB1NtcvX9rY52eZOcWIkWw/9+g0OFaqyQ1dcBTtceH48gL1tdbBbTJret9ZqwtMf6MNsJI7feuYcPvvcEB7c1YTfeXtl1EFTaclnJ/p3AFxe8fOfA/i8lLIHwAKAjyjXPwJgQUrZDeDzyvuIiIg0M+gN4HBnPQwrakH3tDkxOhNBInXnwbJqc3J4FnvbnHA7cy9f6OtqwLA/glAs98Elm5HOSFyYCGhWD73aoc56/O47enHm+jwcVjO+8MtHWTNMusgpRAshOgG8C8DfKT8LAG8F8Kzylq8CeFz5/jHlZyivv01s9egtERGRIpZM48pUGIc7bw9hva1OpDISN+7S5qwaLCXSOPvaQs6lHKq+LhekBAYngjqtLGvEH0EkntK0Hnq1Jx/ehd99ZA++8uFjef1Bgigfue5E/wWA/x2A+sf7JgABKWVK+dkLoEP5vgPABAAorweV999GCPGkEOKsEOLszMzMJpdPRETV5srNMFIZiSOdt9fT9rZlO3RU+/jvl1+bRyKdwRvyrAE+4nFBCP0PF6r33+ykwlwYDAIff1sPjmxypDhRLjYM0UKIXwDgl1KeW3l5jbfKHF67dUHKL0spj0kpj7W0VF6xPxER6WPlpMKVdrVkW31Ve130iWszsBgNuG9HY16fq7OZ0d3iQL/O47/Pjy+gwW7Gjia7rs8h0lsuFf2vB/AeIcQ7AdgA1CG7M+0SQpiU3eZOAJPK+70APAC8QggTgHoA85qvnIiIqtLARBDNDivaV7Urs5qM2NlcW/UdOk6OzOLYjgbUWNYf9b2evi4XXnh1GlLKLQ9BWU//eAB9XVsfskJUbBvuREspf19K2Sml3AHgAwB+KKX8IIAfAfhF5W0fBvCc8v1x5Wcor/9QSsk5rEREpIlBbwBHOuvXDGG9bc6q7hXtD8dw5WZ40+3c+roasBBNYmwuqvHKsoJLSQz7I+hjmQVVgK30if49AJ8WQowgW/P8FeX6VwA0Kdc/DeAzW1siERFRViSewshMBIc61+4v3NvqxPh8FIvx1JqvV7qfjcwCQN6HClV9Xdlwq1eruwGlVETPemiiQsmrQaOU8scAfqx8fx3AfWu8Jwbg/RqsjYiI6DZDviCkxPKkwtXUw4XD/giOVuFu54lrs2istWB/e92mPt/jdqLWYkT/eADv7evUeHXZemghbg3JISpnnFhIRERlY/WkwtV6W7MhuhoPF0opcXJkFg/tbrqtf3Y+jAaBIx6XbpML+8cD6G11wmkz63J/okJiiCYiorIx4A2iw1WDJod1zdc9jXbYzIaqPFx4bToCfzi+6VIOVV+XC5enQlhKpDVaWVYmI9E/vrBcMkJU7hiiiYiobAx6AzjiWb8UwGgQ2NNanYcLTwxnZy7k2x96tT5PA1IZiaFJbYeuXJ9dRCiWQl8X66GpMjBEExFRWZhfTGBifumO/tCr7Wl1VuXAlZMjs9jVUosOV82W7nNUPVyo8dCV8+qQFe5EU4VgiCYiorKwUT20qrfViZlwHPOLiUIsqyTEU2mcuT6Hh7u3VsoBAM0OK7oa7ZrXRfePB1BnM2FXs0PT+xIVC0M0ERGVhUFvEEIAhzo2CNHq+O8qqos+N7aAWDL/Ud/r6evS/nBh//gCjnY1bPrQI1GpYYgmIqKyMOgNYFdz7YadHdQQXU110SeHZ2EyCDywK79R3+vp87hwMxTDVHBJk/tF4ilcmw6zlIMqCkM0ERGVPCklBrzBdftDr+R2WuGym6uqQ8fJkVn0dbk0ax2nHv7Tajd6cCKAjAQPFVJFYYgmIqKSNx2KYyYcz2lIhxDV1aFjYTGBi74g3tCtTSkHAOxrr4PFZNDscKF6qLAaB+BQ5WKIJiKikjegHirMMYT1tjpx7WYYUko9l1USfjY6CymBN2yxP/RKFpMBhzrqNduJ7h8PoNvtQH0Nh6xQ5WCIJiKikjfoDcBkEDmPs+5tcyIcT2EyGNN5ZcV3cngWTpsJRzQepd3nceGiL4hEKrOl+0gp0T8RYD00VRyGaCIiKnmD3iB625ywmY05vX/5cGGF10VLKXFiODvq22TU9h/pfV0NiKcyuHIztKX7jM1FMb+YYD00VRyGaCIiKmlSSgx6gznVQ6v2uLMhutIPF742F4UvsKRZa7uV+paHrmytpOPWkBWGaKosDNFERFTSxuaiCC4lN5xUuFK93Yz2elvFHy5UR31rMWRltfZ6G1rrrFs+XNg/HoDDakK3m0NWqLIwRBMRUUkbyHFS4Wp7Wp0VP3DlxPAsOhtqsL3Jrvm9hRDo8zSgf2LrO9FHPS4YOWSFKgxDNBERlbRBbxBWkwF7Wp15fW5vmxMjMxGk0ls7GFeqUukMzozO4eGeFgihT0Dt63JhbC6KuUh8U5+PJlK4cjO8XBpCVEkYoomIqKQNegM4sK0O5jwPzu1pdSKRyuC1uahOKyuuAW8A4XgKD2vY2m419TDghU3uRg96g0hnJOuhqSIxRBMRUclKpTMY8oXyqodWqR06KrWk46fXZiEE8NDuJt2ecaijHkaD2PThQvVzHLJClYghmoiIStbITARLyTSOePLvgdztdsAggKsVerjw5MgsDnfUw2W36PaMGosRe9uc6J/Y3OHC8+ML2NVci4Za/dZIVCwM0UREVLIGJ4IAsKmdaJvZiB1NtRXZKzoUS+LCRAAP69DabrW+LhcGJrJlGfmQUqJ/PICjrIemCsUQTUREJWvAG4DTasLOptpNfX5Pq7Mid6LPjM4hnZGajvpeT5+nAZF4CiP+SF6f8y4sYTYSZz00VSyGaCIiKlmD3iAOddbDsMn2aL1tTrw2t4hYMq3xyorr5Mgs7BZjQQLqraEr+ZV0qENW2JmDKhVDNBERlaR4Ko0rNzd3qFDV2+aElMh7F7XUnRiexf07G2Ex6f+P8Z3NtaivMed9uLB/PAC7xYjePFsTEpULhmgiIipJV6bCSKYljuQ5ZGUltbd0JY3/9i5EcWN2sSD10IAydKXLlffhwv7xBRzurIcpz9aEROWCf2cTEVFJGlQnFW6hPdqOJjssJkNFjf8+OTwLALr2h16tz9OAYX8EoVgyp/fHkmlcmgyxHpoqGkM0ERGVpAFvEM0OC7bV2zZ9D5PRgO4WR0X1ij4xMovWOiu63Y6CPbOvywUpb3VL2ciQL4hURi4PayGqRAzRRERUkga9ARzqqN/ySOu9bc6KCdHpjMTPRmbxhm79Rn2v5Ygnv8OFPFRI1YAhmoiISs6i0lJtK4cKVXvanLgZiiEYza0UoZRdmgwiEE0WtJQDAOprzOh2O9Cf4/jv/vEAuhrtaHZYdV4ZUfEwRBMRUckZ8gWRkdjUpMLV1O4QldAv+oRSD/367sKGaADo87jQP74AKe8+dEVKifPjC9yFporHEE1ERCVn0Lv5SYWr9bZVTog+OTyLfe11aHEWfoe3r6sBC9Ekxuaid33fVDCG6RCHrFDlY4gmIqKSM+ANoMNVo0k5QHu9DU6rqezHf0cTKZwbWyh4KYdqeejKBq3uWA9N1YIhmoiISs6gN4jDW+gPvZIQAnsq4HDhSzfmkUhn8IYilHIA2Z7bdotxw6Er/eMBWE0G7GuvK9DKiIqDIZqIiErKwmIC4/NRTUo5VL1tTlydDm9Yz1vKTg7PwmIy4L6djUV5vtEgcKTTtWGIPq8MWTFzyApVOP4dTkREJWXQl62H3sqkwtV6W50ILiXhD8c1u+dGJuaj+E6/DyeHZ3H1ZhgLi4kthfiTw7O4b0cjbGajhqvMT1+XC5enQlhKpNd8PZ5K45KPQ1aoOpiKvQAiIqKVBpU2age1DNFtt8Z/t9ZtfnhLPv7LswM4c33+tmtmo0CLw4oWp/qXDS1OK9zKz+rXZof1trDsD8VwdTqM997TUZC1r6evqwGpjMTQZBD37rhzR/zSZAiJdIb10FQVGKKJiKikDHiD2NVSizqbWbN77lHa3F27Gcab9rRodt/1TAWX8NKNefzm63fi5w60wh+OYyYcX/E1Bu/CEi5MBDC3mMBaG9T1NeblYJ3KZN9QrHpo1dEVQ1fWCtFqqQcnFVI1YIgmIqKSMugNaN4HubHWghanFVcKdLjw+YEpSAn86oPbsbO59q7vTaYzmF9MwB+KYyYSy34NxzETiSvXsqH72PYG7C/yYb0WpxWexpp166LPjy+gw1VTsN1+omJiiCYqknRG4vJUCAc7tPtX1kTlbjoUgz8c16wzx0p725y4VqBe0c8N+HC4s37DAA0AZqMBrXU2JXiW/v8f9Hka8PKN+TVfuzAeYCkHVQ0eLCQqkucHJ/ELf3kS12cixV4KUckYUOqhtezModrT6sSwP4x0Rt8OHaMzEQz5QnjPkW26PqdY+rpcuBmKYSq4dNv16VAMvsASSzmoajBEExXJqD8bnocmQ0VeCVHpGPQGYTIIHNimfdlCb6sTsWQG4/N3n7i3VccvTEII4N0VG6KzIXl1SUe/MmTlHu5EU5VgiCYqEu9Cdhfn8hRDNJFqwBvAnlanLm3clsd/61gXLaXEdwcm8cDOpoqtC97fXgeLybAcmlX94wFYjAbs1+EPQESliCGaqEgmFrK7YVcYookAZAPoRZ92kwpX62l1QAjoWhc95Avh+uwi3nO0MnehAcBiMuDgtro7dqLPjy/gYEcdrKbi9bEmKiSGaKIimZjP7kQXqlsAUakbn48iEE3qUg8NAHaLCV2Ndl13op+74IPZKPDowTbdnlEK+roacNEXRCKVAZDtMDLoDbIemqoKQzRREcRTaUyHY3DaTJgKxhCIJoq9JKKiG/BmJxXqtRMNZA8XXtVpJzqdkfju4CTetMcNl92iyzNKRV+XC/FUBlduZv9N2uWpEOKpDCcVUlVhiCYqgslADFICb+l1AwAuT3E3mmhwIgCrybBcu6yH3lYnbswuIp5ae2z1Vrx8Yx7ToXhFl3KoVh8uvDVkhYcKqXowRBMVwYTSHeCR/a0AsLybQ1TNBr1B7N9WB7NRv3809bY5kc5IjPoXNb/38YFJ2C1GvH2fW/N7l5pt9Ta4ndblw4XnxxfQVmfDNldNkVdGVDgM0URFoHbmuGd7AxprLbjCnWiqcumMxNBkEEd0qodWqbvcWh8uTKQy+P7FKTyyvxV2S+XPMRNCoK/Lhf6JWzvR3IWmasMQTVQEEwtRmI0CbXU27G1z4jJ3oqnKjfgjiCbSutZDA8DO5lqYjULzA70/vTaD4FISj1VBKYeqr6sBY3NRXJsOY3w+ynpoqjoM0URFMDEfxTZXDYwGgb1tdbh6U/8pakSlbMCr36TClcxGA3a3ODTfiT4+MIkGuxkP97Roet9S1ufJ/nf19z+7kf2ZO9FUZRiiiYrAu7AET4MdALCv3Yl4KoPX5rSv0SQqF4PeAJxWE3Y11+r+rD2tTk3b3C3GU3jh1Wk8eqhd13ruUnOosx5Gg8C/nc+29TvYoe+/RSAqNdXzv3aiEuJdiKKzIXsAZ197droX66Kpmg16gzjYUQ+DQej+rN42J3yBJYRjSU3u95+Xp7GUTOOxCh3zvR67xYS9bdlNgP3tdbpMmSQqZQzRRAW2lEhjNpKApzG7E93tdsBoEBz/TVUrnkrj8lQIhz2F2cnsbVUPF0Y0ud/xC5Nor7fh3h2NmtyvnKglHByyQtWIIZqowLzKuG91J9pmNmJXcy3b3FHVunozjGRa6t6ZQ6Vlh46FxQR+cm0G7z6yrSC76KWmz5MNz6yHpmpU+X14iErMxHKIti9f29teh/NjC8VaElFRFWJS4UodrhrUWoya1EX/+9BNpDIS76myUg7VOw604snpXXj7vtZiL4Wo4LgTTVRgao9oT+OtoQR7lRrN4JI2NZpE5WRwIoCmWgs6CjSow2AQ6NHocOFzF3zY1VKLA9vqNFhZ+XHazPiDd+5DrZV7clR9GKKJCmxiPgqryYAWh3X52n7lcKGWHQOIysWgN4hDnfUQonDlEL2tTlydDkPKzbeWnAou4eXX5vHYkY6Crp2ISgNDNFGBTcwvobOh5rZ/6O5tz9Zosi6aqk00kcKwP6x7f+jVetucmF9MYDaS2PQ9nh+YgpTAe6powAoR3cIQTVRg3kB0uTOHqq3OhvoaMy6zzR1VmSFfCBkJHClQPbRKi8OFzw34cLizHjsL0NuaiEoPQzRRgak70SsJIbLjv9nmjqrMYIEmFa6mhujNjv8enYlgyBeq2gOFRMQQTVRQoVgSwaXk8rTClfa1Z8d/Zzj+m6rIgDeIbfU2tDitG79ZQ80OK5pqLbi2yRB9/MIkhADezRBNVLUYookKyDuvduZYK0Q7sZRMY3w+WuhlEeXkZjCm+R/yBr2Bgu9Cq/YohwvzJaXE8YFJPLCzCa11Nh1WRp/7YwYAACAASURBVETlYMMQLYSwCSFeFkIMCCEuCSH+WLm+UwjxkhBiWAjxLSGERbluVX4eUV7foe+vQFQ+JlYNWllpb1u2QwdLOqgUDfmCePCpF/HoF07g+xenNAnTgWgCY3PRgk0qXK23zYlr0/n/258hXwg3Zhd5oJCoyuWyEx0H8FYp5REARwH8vBDiAQB/DuDzUsoeAAsAPqK8/yMAFqSU3QA+r7yPiLCiR/Qa5Rx7Wp0wCOAy29xRCfrX816YDQYkMxl89B/P451Pn8APhrYWpgeVISuFmlS4Wm+bE9FEGr7AUl6fe+6CD2ajwKMH23RaGRGVgw1DtMyKKD+alb8kgLcCeFa5/lUAjyvfP6b8DOX1twk20CQCkO0R7bCa4LKb73itxmLEjuZaXOFONJWYdEbi+cEpvGVvC1741JvwF08cRSKVwW89cx7v+suT+MHQzU31W1YPFR7sKM5O9J7W7OHCfPqzpzMS3x2cxJv2uOGyW/RaGhGVgZxqooUQRiHEBQB+AC8AGAUQkFKmlLd4AXQo33cAmAAA5fUggKY17vmkEOKsEOLszMzM1n4LojLhXYje0SN6pX1tdZvuFkCklzPX5zATjuOxox0wGgQe7+vAf3zqjfj8E0cQS6bxW8+cw7uePon/uJRfmB7wBrGruRb1NXf+obIQ9rQ6ACCvuuiXb8xjOhRnKQcR5RaipZRpKeVRAJ0A7gOwb623KV/XSgd3/L+qlPLLUspjUspjLS0tua6XqKx5F5bQuUYph2pvmxPj81GEYxz/TaXjuQs+OKwmvHWve/mayWjAe/s68cKn3oj//v4jiCZSePLr5/DuvzqJ/3x1OqcwfdEbxOEC94deyWkzo8NVk9dO9PEBH+wWI96+z73xm4moouXVnUNKGQDwYwAPAHAJIUzKS50AJpXvvQA8AKC8Xg9gXovFEpUzKSUm5qPwNN55qFC1Txn/vZUBEERaiiXT+Pehm/i5A22wmY13vG4yGvC+13XiPz/9Jvy39x9BOJbC//y1s3jPX/0ML15eP0z7QzHcDMWK1plDtbfNmXOITqQy+P7Fm3hkfyvsFtPGHyCiipZLd44WIYRL+b4GwNsBXAbwIwC/qLztwwCeU74/rvwM5fUfys0UyxFVmIVoEouJ9N13opXx35xcSKXix1dnEI6l8NgG5QsmowG/qITpz/3iYQSWEvjIV8/i8b/+GX50xX9HmB5QDxUWqTOHak+bE6MzESRSmQ3f+9NrMwguJTf8z4KIqkMuO9HtAH4khBgE8AqAF6SUzwP4PQCfFkKMIFvz/BXl/V8B0KRc/zSAz2i/bKLy41Xa23nWaG+n6nDVwGkzsc0dlYzjAz40Oyx4aPcdR1vWZDYa8EvHPPjh774Zf/6+Q5hbTOA3/uEVvPdvTuHHV2+F6UFvAEaDwP724obo3lYnUhmJ1+YWN3zvcwOTaLCb8XAPSxCJCNjw30dJKQcB9K1x/Tqy9dGrr8cAvF+T1RFVkAll0MrddqKFEDxcSCUjHEvixct+fOBeD0zG/GZzmY0GPHFvF97b14l/O+/FX/5wBL/+96+gr8uFT759Dwb+//buO77N67wX+O8ABDe4F0SCpKhBalCL1F4ecmzLQ96y49iSPNKbJtdxkiZNm6ZpkrZZTdqb3Ns0tmxLtuUZO5ZiyzumRe1BUVukKC6AExTBPQGc+wcAhpY4AGIDv+/ng4/IFy/e9+AVSD44eM7z6DsxKy0WUeHXpoh40+j23/ZqHWPpHTThk/MtuHtJJlROXgsiCk78TUDkJSMz0RPkRAPWlA62/yZ/8NG5FgyaLLhzUebkO48jPEyBB5dl47O/uw7/fnchWrsGseX5o9hXafBZfejR8lJjoFSISdt/f3KhBf3DZmxim28ismEQTeQlOmMfEqJVUEdOXM6rICMOPYOmkcYsRL6y+1QjshKjsCTb9WA3PEyBLy+3BtP/dvd8zNXEYeMCjRtG6ZqIMCWmp8RMWuZuT3kjNPGRWJqb5KWREZG/YxBN5CW69v4x231fbWRxYTPzokNRc+cAdh2pm1LzEncydA/iQFUbNi2aNm5d86kID1Pg4eU52PvNtVg/2z9yi/MnqdBh7B3C55UG3LFwGhQK9g4jIisG0UReojf2jdnu+2r56WoIAVxkhY6Q9GxpNX7wp7M4ePmKT8ex90wTzBaJTS6kcgSK/HRrffa+IdOY9+892wSTReJOpnIQ0SgMoom8QEoJvbEf2qTJg+iYiDDkJEXjImeiQ1JJRSsAYHtptU/Hsbu8AQUZ6gkX2wUL+3OsbOkZ8/495Y3IS43BvGlx3hwWEfk5BtFEXmDoHsSgyeJQOgdgzYtmmbvQo2vvw2VDL7ISo/BZhQFVrb75NELX3oey+o6QaW1dYKvQMdbiwsaOfhytbcemhZluTWshosDHIJrIC3S2RYKOpHMA1s6Fde196B0c++NlCk4llQYAwH9uXoSIMAWe21/jk3HsOWVtQHvHgtAIorVJ0YhUKcZcXPju6UZIiZB5Q0FEjmMQTeQF9vJ2Ds9Ea9SQku2/Q83nFa3QJkWhOCcR9yzJwltlDbjSM+j1cewpb0RxTqJD6UfBQKkQmJ0+9uLCPacasSArHtNTYnwwMiLyZwyiibxA124Poh2cic6w5l6y/XfoGDSZcfDyFVw3Ow1CCDy+JhdDJgtePlzv1XFcbO5CRUt3yLW2np2uvmYm+rKhB2cburigkIjGxCCayAv0xn6kxEY43J0tKzEKMeFKLi4MIcdqjOgbMuO6fGvZt5lpalyfn4qXDtdiYNjstXHsLm+EUiGwsdD3NZy9KT9dDUP3INp7h0a27SlvhBDAHQyiiWgMDKKJvEBn7HM4lQMAFAqBAk0cy9yFkJKKVoQrFVg5I3lk2xNr89DWM4Td5Q1eGYOUEnvKG7FmZgqSYyO8ck5/YW//bU/pkFJiz6lGrJiejPS4SF8OjYj8FINoIi9wtLzdaAUZalxo7vJ50w3yjpJKA5bnJSE6PGxk26oZyZijicP20hqvvA7K6o1o6OgPuVQO4K9BtH0dwpmGTtS09XJBIRGNi0E0kYeZLRKNHf3QOjETDQAFmjh0D5jQ0MH2357wHx9W4J/eOePrYQCwLjytau25poOfEAJPrJmOS6092HepzePj2F3eiIgwBb40L8Pj5/I3aeoIxEepRvKi95Q3QqUUuHV+6F0LInIMg2giD2vuGsCwWTq8qNBurq39N1M63M/QPYhn9lXj1aO6L+TA+srnttJ21+WnXXPfHQunIU0d4fHmK8NmC9473YQNc9MRGxE2+QOCjBBipP232SLx59ONWD87DQnR4b4eGhH5KQbRRB6mt1Xm0CY5NxNt76LGxYXu9+rRegyZLTBbJD461+zr4aCkwoCsxCjMSL22jFp4mAJbVuWi9FKbR18LB6racKV3CJtCeBFdfroalc3dOFJzBS1dg0zlIKIJMYgm8jBnG63YqSNV0CZFscydm1nLxtVh3exU5CRH470zTT4fz8GqNlyXnzpuR7yHl2cjSqXEc6Wea76yp7wRcZFhWJ+fOvnOQSo/Q43uQRP+5/NqRIcrsWHOtZ8MEBHZMYgm8jBdex+EADQJzq/wL8iIwwXORLvV+2eb0No9iG2rc7GxUIODl6/A6MOUjuO17egdMuO62eMHbAnR4bivKAu7yxvR2j3g9jH0D5nx4blm3Dpfg4gwx8owBiP74sJ9lQbcNDf9C4s8iYiu5hdBdL3t426iYKQ39iMjLnJKwckcTRxq23rRP+S9OsHB7oUDtchLicH6Wam4rVBjTek477uUjpJKwzWl7caybXUuhi0WvHyozu1j+MvFVvQOmUOyKsdos9PUI1+H+rUgosn5RRDdPWCCyWzx9TCIPMLZGtGjzclQwyKBS61M6XCHk/VGlOs6sGVVLhQKgXnT4pCdFI33zvgwiK5oxdLpiYiZZDFfXmosbixIx0uH69z+pmp3eQPS1BFYnjdxIB/s4qNV0MRHIjFahbWzQjethYgc4xdBtEVKXGxmkEDBqcHY73Q+tF2Bxt7+mykd7rDjYC3UEWG4tygLgLUiw8ZCDQ5WtfkkpaOxox+VLT0TpnKM9uTa6TD2DePtk3q3jaGzbxglFQbcsXAalIqxc7JDyVfX5eF7txRApfSLP49E5Mf85rdEWb3R10MgcrthswVNnf3IcrLRil1OUjSiVEouLnSDlq4BvHe6CfcXa79Qwu22Qg1MPkrpKKmwl7ZzbNZz2fQkFGbG47n9NbBY3NN85YNzTRgyW5i+YLNt9XQ8tCzb18MgogDgF0F0mELgRB2DaAo+jR39sEhMOZ1DobDWrmWZO9ftOlIPs5R4dGXOF7bPz4yDNinKJykdJRWtyEyIwsy0WIf2F0LgibXTUW3oRUllq1vGsLu8EbnJ0SjMjHfL8YiIQoVfBNExEWEMoiko6adY3m60ORo1LjR1s/23CwZNZrxypA435KchN+WLtZhHp3R09HkvpWPIZMGBqjasn6C03Vg2FmqgiY/Es/tcL3fX0jWAQ9VXcOeiTKfGQEREfhJER4croTf2o6XL/aWbiHxJN8VGK6MVZMShs38Yzfz5mLJ3TzWhrWcIW1fnjnn/SErHuRavjel4nb20nXML2FRKBbauysWh6is429Dp0hjePd0EKYE7Q7jBChHRVPlJEG3NTyzjbDQFGZ2xD0qFQEac8zWi7ebYFhey/ffUSCmx42AtZqbFYs3MlDH3KcyMt6V0eK/xyucVBqiUAqvGGdNEHlyWjehwJZ7f79ps9J7yBszPjHM4nYSIiP7KL4LoKJUS4WEKpnRQ0NEb+zEtIRJhLqz0tzeAYNOVqSmrN+JMQye2rsodN2XBntJxwIspHSUVBizNTfrCIkdHxUep8ECxFntONaK5c2qfUNS09eKUvhObFmZO6fFERKHOL4JoIYCFWfE4wQodFGR07X0u5UMD1oApM4Htv6fq+QO1iIsMwz1LJg4W/1qlw/MpHY0d/aho6Xa4KsdYHls9HRYpsfNQ7ZQev6e8EUIAty/UTHkMREShzC+CaABYkpOIsw2dGBhmZzYKHjpj/5Qrc4w2R6PGRdaKdlpTZz8+ONtsS3+YeMa3MDMeWYlR2OuFlI59lfbSdo7Vhx5LdnI0bp6XgV2H69A7aHLqsVJK7D7VgGW5SdDEu/76JCIKRX4TRBdlJ2LYLF1eKEPkLwaGzTB0D7o8Ew1YFxdWt/XyTaaTXj5cByklHlmRM+m+QgjcVqjB/ktt6Owb9ui4SioMmBYfiVku5iI/sXY6ugZMeKvMueYr5xq7UG3oxaZFTOUgIpoq/wmicxIBgHnRFDTs5e2yXKjMYVegUcNskahq7XH5WKFiYNiMV47UY8OcdGgdbHaz0ZbS8aEHG68Mm6dW2m4sS7ITsUibgOf318DsRPOVPacaoVIK3Do/w6XzExGFMr8JopNjIzA9JYZBNAUNvdFW3s5NM9EA2387Y095I4x9w9i2errDj1mQ5fmUjhN1RnQPmrDewVbfExFC4Mm1eai90odPLjiWy22xSOwpb8T62alIjAl3eQxERKHKb4JowDqrUlZvZFMJCgo6e6OVKbb8Hm16SgwiwhS42MzFhY6QUuKFg7UoyFBjRV6Sw48bXaXDUykdJRUGhCkEVs9Mdsvxbp6XjsyEKDxX6li5u6O17WjuGsCdTOUgInKJXwXRRTmJaOsZQr2tQQVRINO39yE8TIHU2AiXj6Vk+2+nHKlpx4WmrgnL2o1nY6EGw2aJjzyU0lFS0Yri3ESoI1VuOV6YUoFtq3NxtLYdp3Qdk+6/u7wRUSolNsxxfSaciCiU+V0QDTAvmoKD3tiPrIQoKBTuaadckMH2347acaAWCdEq3LXY+dnWhVnxyEzwTEpHc+cALjZ3u1SVYyybl2qhjgjD9kmarwyZLNh7pglfmpc+abUSIiKamF8F0bPSYqGOCGMQTUFBZ+xDlhtSOezmaOLQ3jsEQ/eg244ZjPTGPnx0vhkPLctGpErp9OOFELhtgQb7q9rQ2e/elI7PK1sBwKX60GNRR6rw4DIt9p5pQkNH/7j77as0oLN/GJsWsc03EZGr/CqIVigEFuckMoimoKBr73NLjWi7kcWFzIue0EuH6iCEwFccKGs3HntKx8dubrxSUmFARlwk8tPVbj0uAGxZlQsA2Hmwdtx99pxqRGK0CmtnuTeIJyIKRX4VRAPWetEVLd3oHvBsnVYiT+oZNMHYN+yWyhx2Bfb236zQMa6+IRNePVo/sthuqjyR0jFstmD/pTZc54bSdmPJSozGrfMz8OqRevSM0Xyld9CEj8+3YGOhBioX2tATEZGV3/0mLcpJhJTAyfrJF8gQ+auR8nZuqBFtlxgTjoy4SHYunMA7JxvRNWByqqzdWKxVOjJQesngtpSOMltpO3encoz2xNo8dA+a8Pox3TX3fXKhBf3DZjZYISJyE78Lohdq46EQXFxIgU3Xbmu04saZaMDW/pvpHGOSUmLHwRrMmxaHYtsiZVfYUzo+cVNKR0mlvbRdiluON5ZF2gQszU3ECwdqYDJbvnDf7vJGaOIj3XJtiIjID4NodaQK+RlxKKtnEE2B66+NVtw3Ew0ABZo4VLX2YMhkmXznEHPw8hVUtvRMqazdWBZpE5CZEIX33JTSUVJhQFGO+0rbjefxNXnQG/vx0ajgv713CPsqDbhz4TS3VYshIgp1fhdEA0BRTgJO1nc41caWyJ/o2vsRpVIiyc0d4Qoy1DCx/feYXjhQi+SYcNyx0D2VJ4SwtsV2R0pHS9cALjR1ub203VhumpuOnORobC+tHtm290wTTBaJO1mVg4jIbfw0iE5Ez6AJlS382DqQ/OKDi/jum6ewu7wBbT2hXYZNb+yDNinK7QvI5mqsFTrYdOWL6q704tOLLfjy8qmVtRvPxgXuSen4vMIAAFg/2/NVMZQKgcdWT0dZfcdIWtyeU42YmRY78vohIiLX+WW1/aJsa5veE3VGzOEv/YBwsbkLvy+5jHClAm+e0AOwzpqunZWCNbNSsSw3CVHh7gtu/J3O2O/Wyhx201NiEK5k+++rvXioDkoXy9qNZbE2AdPiI7H3TBPuLcqa8nE+rzQgPS4CczTuL203lvuKsvDrjyrw3P5qaOLn4mhNO75z02yPVAUhIgpVfhlEa5OikBIbgbI6o9v/KJJn7DxYi0iVAgf+/gbojf3YX9WG/ZfasPNgHZ4trUG4UoGinESsmZWCNTNTMD8zHsogzc2UUkLf3odlue5fwBWmVGBWeizL3I3SO2jCG8d02FioQXpcpFuPba3SocGLh+rQNTCMuCnkM5vMFpReMuCW+RleC2JjIsLw5eU5eGbf5ZGUIneluRARkZVfBtFCCBTlJOAEFxcGBGPvEP50sgF3L85CcmwEkmMjsFCbgK9fPxP9Q2YcrW3H/ksG7K+6gl99WIFffViBhGgVVs1IxuqZKVg7MxXZye6ftfWVrn4TugdN0LqxW+FoBRlx+LzS4JFjB6K3yvToHjRh6+pcjxx/4wINtu+vwSfnW3DPEudno0/qOtA1YPJKPvRoW1flYntpNV4+XI+F2gTkpsR49fxERMHOL4NowJoX/eG5Fhi6B5GqjvD1cGgCrx3TYWDYgq22jmmjRYUrsX526kguqKF7EAcvW2ep91e1Ye+ZZgBAdlK0NaCelYJVM5KREO3eBXnepLNV5nB3eTu7ORo13irT82cDgMUiseNgLRZmxWOxNsEj5xid0jGVILqkohVKD5e2G0tGfCTuWDgNfzrZgE2chSYicju/DqIBoKzeiJvnZfh4NDQek9mClw7VYtWMZORnTJ7vmaqOwKZFmdi0KBNSSlw29OJAVRtKL7Xhz6ca8erReggBFGbGY9vqXNy9eOp5qL6ia7cH0e4tb2dnXydQ0dwd8kF0aVUbqg29+K/NizyWKiGEwK2FGrw0xZSOkgoDirITER/l2dJ2Y/nGDTNh7BvCXYvZYIWIyN38sjoHAMybFo9wpQJlbLri1z4+34LGzoExZ6EnI4TAzLRYbFmVi+1binHyn2/CW19biW/eOAvDZolvv3EKH5xtdv+gPUxvtDZa8Vw6B9t/271woAap6ghsLNR49DwbCzUYMlvw6QXnqnS0dg/gXGMX1nuwS+FEZqTGYse2ZW4vtUhERH4cREeqlJifGcfOhX7uhYO1yEqMwo1z0l0+lkqpQFFOEp7eMBt/+ttVWKRNwNOvn8QpXWC1gNcZ+xAXGeaxmcfk2AikqSNwIcTL3FUbelBSYcDDy7MRHubZX2WLtQnQxEfivdPONV6xl7bzZKtvIiLyDb8NogFrSsfphk4Mmsy+HgqN4VxjJ47WtGPLyly3V9qIVCnx7KPFSFVH4PGdx0c6AAYCXXufx/Kh7Qo0cbjYFNpl7l48VAeVUuDh5Z6v4KNQCNw6X4N9lW3oGnC88UpJpQFp6gjWZyYiCkJ+HkQnYchkwbnG0J5x81c7D9YiSqXEA8Vajxw/JTYCL2xdikGTGY/tOOZU8OJLemM/tEmeyYe2m5OhRlVrD4bNodn+u3tgGG8e1+GOBdO8lhd+24IMp1I6TGYLSisNWD87lfWZiYiCkF8H0UtyrKvtmRftf9p7h/BOeSPuWZKJ+GjPLZiamabGH75ShGpDL76+q8zvg0YpJfTGfo/PRM/RxGHIbEG1odej5/FXbx7Xo3fIjC1TyMWfqsXaRGTEReK9047l6Zf7qLQdERF5h18H0WnqSGQnRTMv2g+9erQeQ6axy9q526qZKfj3ewpReqkNP3znLKSUHj/nVF3pHUL/sBlaD1XmsCuwdb4LxfbfFovEzkO1WJKdgIUeKms3FoXC2nhl3yUDuh34VKSkwgClQmDNLO+WtiMiIu/w6yAasOZFH68z+nXgFGqGzRa8dKgOa2elYFa6d9oYP1CsxTeun4nXjunwh33VXjnnVNjL23mqModdXkosVEqBCyGYF11S2Yq6K33Ytnq6189924IMDJks+PRC66T7llS2YrE2wSel7YiIyPP8PohekpMIQ/fgSNkw8r0PzzWjuWtqZe1c8e2bZuOOhdPw8/cvYu8Z56okeIvO9jr1dDpHeJgCM1JDs/33CwdqkR4XgVvme79+/EhKxySvv9buAZxt6GJVDiKiIOb3QXRR9l+brpB/2HGgFjnJ0bjey7meCoXAr+5bgKKcRHzr9XK/fE3ojZ5ttDLaXE1cyKVzXGrpRumlNjyyIgcqpfd/fSkUArcWZuDzyolTOvZVtgEA86GJiIKY3wfR+RlqxIQrmRftJ87oO3G8zohHV+ZC4eaydo6IVCnxzCNFyIiPxJM7j4+kT/gLXXs/kmPCERPh+WagBRo1WroG0d475PFz+Yudh2oRHqbAQ8uyfTaG2wo1GDJZ8JeL46d0lFS0IiWWpe2IiIKZ3wfRSoXA4uxEBtF+YsfBWkSHK3F/se/acSfHRuD5rUthskhsfeEoOvv8p/Sd3tjnlVloACjIsAZoF0MkpcPYO4Q/ntBj08JpSI71XbvzJdnWlI53x2m8YrZIlF5qw/rZqT55o0lERN7h90E0YM2LvtDUhd5Bk6+HEtLaegbx51ONuK8oC3GRvl0sNSM1Fv/zlSLUt/fha7tOYMjkH6Xv9MZ+ZHl4UaHdHNss54Xm0FhcuOtIHQaGLXhibZ5Px6FQCNwyf/yUjnJdBzr7h5kPTUQU5AIiiC7KSYRFIuDaPwebV47UY8hswaMrc309FADAyhnJ+Pk9C3Dw8hX84E9nfF7BxWKRaDD2Q+vhRYV2qeoIpMSGh8RM9KDJjJ2H6rBudiryM7xTEWYity0YP6Xj84pWKASwlqXtiIiCWkAE0Yu0CRACOM6UDp8ZMlnw8mFrEDMzLdbXwxlxb1EWnrpxFt48ocd/l1z26VhauwcxZLZ4LZ0DsKZ0XAyBmejd5Y0wdA/iybXeL2s3lqLsRKTHReC9MVI6SioNWJydiITocB+MjIiIvGXSIFoIoRVCfCaEuCCEOCeE+KZte5IQ4mMhxCXbv4m27UII8VshRJUQ4rQQYomrg4yPUmF2mpp50T70/tkmtHYPYtvqXF8P5Rrf2jALmxZNw68+rMCfTzX6bBw6o3dqRI9WkKFGRUs3TH7eydEVUko8V1qDggw11sz0j9ldhULg1vkalFQa0DMqzaytZxCn9Z24bjZTOYiIgp0jM9EmAN+RUs4BsALA14UQcwF8H8CnUspZAD61fQ8AtwKYZbt9FcDv3THQJTmJKKs3wmJh0xVf2HGwFtNTYrB+lv8FB0II/PK+BViam4jvvHkKJ+rafTIOe6UQb85Ez9HEYchkQe2V4G3/ve9SGypauvHE2jwI4T8L9ewpHZ9eaBnZtq/SAICl7YiIQsGkQbSUsklKWWb7uhvABQCZADYB2GnbbSeAu2xfbwLworQ6DCBBCKFxdaBFOYnoHjChytDj6qHISeW6Dpys78CWlTl+W20gIkyJZx4pRmZCFJ588QTqfBBU2hsCZSZ4MZ3D1v47mDsXbi+tRpo6AncunObroXyBPaVjdOOfkgoDUmLDMW8aS9sREQU7p3KihRC5ABYDOAIgXUrZBFgDbQD2qZdMALpRD9Pbtl19rK8KIY4LIY4bDIZJz12UY226wpQO79t5sBaxEWG4t8h3Ze0ckRgTjue3LoVFSmzbcQwdfd6tn6xr70N6XAQiVUqvnXNmWizCFCJoOxdeaOpC6aU2bFmVi/Aw/1rCMZLSUWFA76AJZovEvksGrGNpOyKikODwXyUhRCyAtwA8LaWc6C/2WH89rsnBkFI+I6UsllIWp6ZOniKQmxyNpJhwBtFe1to9gHdPW8vaqX1c1s4R01Ni8MwjxdC39+NvXvJu6Tudsc/j7b6vFhGmxIzU2KBdXLi9tAZRKiUeXu675ioT2ViowaDJgk8vtuKUvgMdfcNYz3xoIqKQ4FAQLYRQwRpA75JSvm3bl6vwSQAAIABJREFU3GJP07D9a6/1pAegHfXwLAAur/YSQmBJdiLKGER71a7D9Rg2S2xZlevroThs2fQk/PK+BThS047vv33aa6Xv9MZ+aL2YD21XoFEHZZm7lq4B7DnVgAeKs/y20kVxTiLS1BF473QjSioMUAhgnR+uGyAiIvdzpDqHAPAcgAtSyt+MumsPgC22r7cA2D1q+6O2Kh0rAHTa0z5cVZSTiOq23pBqc+xLgyYzdh2px/X5qZieEuPr4TjlrsWZ+NaG2Xi7rAG/+0uVx89nMlvQ1Dng1cocdgUZcWjsHHBb50Zr8No4ZiMRb9p5sBYmi8Rja/yjrN1YrCkdGSipMODDs81YqE1AYox/BvxEROReYQ7ssxrAIwDOCCHKbdv+EcDPAbwhhHgcQD2A+2337QWwEUAVgD4A29w1WHtedFmdERvmprvrsDSOvWea0NYziK2r/TeImchTN85E3ZVe/ObjSmQnReOuxdek5rtNU+cAzBbp1cocdiOLC5u7sCIv2enHSylR2dKDj8834+PzLTil7wQA3LskC79+YKFbx+qoviETdh2px81zM5CT7N9v4DYWarDzUB0qWrrxrQ2zfT0cIiLykkmDaCnlfoyd5wwAN46xvwTwdRfHNaYFWfEIUwicqGcQ7WlSSrxwoBYzUmOwLkA7rwkh8LN7C6Ez9uGHu8/ilvkZHlv0N1Ij2ss50QAw19b++2KT40G0yWzB8TojPj7fgo/Pt6DeVp5voTYB3705H40d/dh1pB4PFGdh+RQCc1e9eVyPzv5hPLnO/9/AFecmIVUdAUP3IFt9ExGFEEdmov1GpEqJeZnxXFzoBSd1HTit78RPN83zq9q8zooIU+LbN+XjoWcP4/2zTbh7sWcqjOjbreXtfJHOkaaOQGK0atLFhX1DJuyrNOCj8y347GIrjH3DCFcqsGpmMv5mfR42zElHelwkAKB/yIySCgN+uPss3ntqLVRK71XGMFsknttfg8XZCSjKSfLaeadKqRC4d0kW3jvTiMLMeF8Ph4iIvCSggmjAupDn5cN1GDZbvPqHPdTsOFALdUQY7lni32XtHLEiLwk5ydF47ajOc0G0sQ8KAWTER3rk+BMRQqAgI27MMnet3QP49EIrPj7fgv1VbRgyWRAfpcINBWm4aW461s1ORWzEtb8GosKV+Jc75+HJF49jx4FaPLkuzxtPBQDw8flm1Lf34fu3FnjtnK767s35eHrDLJa2IyIKIQEXRBflJOK5/TU439iFhdoEXw8nKLV0DWDvmSZsWZWLmDECrEAjhMADxVr86sMK1LT1emSRpM7YD018lM/e2M3RxOGVo3UwWyRq2nrwkS1No1zXASmtXRQfXp6Nm+amY2lukkPjvGluOjbMScN/flKJ2xdqoIn3Tr73s6U10CZF4eZ5GV45nzsoFQJKhffqgxMRke8F3FQum6543q7DdTBLiUdX5vh6KG5zX1EWlAqBN47rJt95CnTtfT5ZVGhXoFFjYNiCdb/8DBt+sw+//KACJrPEtzbMxvvfXIvS712PH90xD6tmpDgV6P/ojnkwWyT+9d0LHhz9X5XVG3GizojHVk+HkrO6RETkxwJumjE9LhKZCVE4UW/EY/D/RUeBZmDYWtbuxoI0v6+K4Iz0uEhcn5+GP57Q49s3zXb7jLHe2I81PlyAuWJ6MlLVEchLjcH/Wp+HDXPT3TJzrE2Kxv++YSb+46NKPFBp8Hgjke2l1YiLDMMDxdrJdyYiIvKhgJuJBqyz0Z5uutLSNYA3jutgsXinUYe/ePd0E670DmHrquB7g7J5qRaG7kF8drF18p2dMGgyo6V7wCeVOeyyk6Nx7Acb8NLjy/HIyly3pl48uS4PeSkx+NHusxgYNrvtuFfTtffhg7PN+PLynKBIIyIiouAWsEF0U+cAGjv6PXL8IZMFX33pBL73x9MorWrzyDn8kbWsXQ1mpcVi9UzvlzXztOvzU5GmjsDrx9yb0tFg7B/JOw5GEWFK/HjTPNRe6cMz+6o9dp7n9tdAIQS2BlB3TCIiCl0BG0QDnsuL/vVHFTil60CUSomdB2s9co6pGjZb8N8lVTh4uc3t7axP1BlxrrELW1fnBnRZu/GEKRW4rygLn1W0orlzwG3H1Rt9V97OW9bOSsXtCzT4f59Vof5Kn9uP39k3jDeO63Dnwmk+qXBCRETkrIAMogsy1IhSKT0SRH9eacAf9lXj4eXZeHJdHj6raEVtW6/bzzNVe8ob8csPKvDlZ4/g1v9TiteP1bvtI/YXDtYiLjIMd3uws5+vPVCshUUCb5Xp3XbMkUYrScE5E233T7fNRZhC4Ed7zrr9DdwrR+vRN2TGE2u9V0qPiIjIFQEZRIcpFVikTUBZvXuD6NbuAXznjXLkp6vxw9vn4uHl2VAKgRcP1bn1PFMlpcSzpdWYnR6LX963AEII/P1bZ7DyZ5/iVx9eRFPn1NNbmjr78cHZZjy4LBvR4cGbj5qbEoMVeUl4/Zj78t117f1QKQXS1ME9g5oRH4lv3TQbn1VYG7a4y5DJgh0Ha7B6ZjLmTotz23GJiIg8KSCDaMCa0nGusQt9Qya3HM9ikfj266fQM2jC//3yYkSqlEiPi8SthRq8eVyH3kH3nMcVBy9fwcXmbjyxJg8PFGux96k1eO2rK7BsehJ+X3IZa3/xGb7xShlO1Bmdnil8+XAdpJR4ZEXwlLUbz4NLs1Hf3ofDNVfccjy9sQ+ZCVEhUZJt66pcFGSo8eM959z2s/fu6Ua0dA1yFpqIiAJKQAfRZovEaX2nW473h33V2F/Vhn+5Yx5mpatHtm9dlYvuQRPePtnglvO4YntpNVJiw3HnomkArE1EVuQl4w+PFOPz716Pbatz8XmlAff+/iDu+n8H8M7JBgyZLJMed2DYjFeO1GPDnPSgzuu1u2V+BuIiw9y2wFBn7EeWDytzeFOYUoGf3jUfjZ0D+N1fqlw+nvXTFeti1us8XD6PiIjInQI2iF6cbe1W6I686LJ6I/7jowrctkCDzUu/WJ92SXYCCjPjsfNgrdvzQJ1R1dqNzyoMeHRlLiJV13ZG0yZF4we3zcXhf7gRP900D92DJjz9ejnW/OIv+O2nl9DWMzjusfeUN8LYN4ytq3M9+Az8R6RKibsWZ+L9s83o6Bty+XgNxr6gz4cebWluEu4vysKz+6pR1drt0rEOXr6CC01deGLt9KBczEpERMErYIPohOhwzEyLdbledGf/MJ569SQ08ZH42T2F1/whF0Jgy6pcVLX24ECVez7+n4rn9tcgIkyBh5dnT7hfTEQYHlmZi0++tR47ti3FHE0cfvNxJVb97C/4uzdP4WzDF2fupZR44WAt8tPVWJkXfGXtxrN5qRZDJgvecfEThr4hE9p6hkJmJtru+7cWICYiDD9855xLby6ftX26smlR8C5mJSKi4BSwQTQAFGUn4kS9ccoLxKSU+Me3z6C5cwC/fWgx4iJVY+53+wINkmPCscNH5e6u9AzirbIG3LMkC8mxEQ49RqEQuC4/DTsfW4ZPvr0em5dqsfdME27/3X488D+H8P6ZJpjMFhytaceFpuAtazeeedPiUZgZj9eO6VwKAu3l7YK1RvR4kmMj8L1b8nGo+gr2nGqc0jEutXSjZIJPV4iIiPxZYAfROYno6BtG9RRL0L12TIf3zjThO1/Kx5LsxHH3i1Qp8dCybHx6sQW6dvfXyJ3My4frMWSy4PE1U+siODMtFj+9az4O/cON+MHGOWjs7MfXdpVh/a9K8KM955AQrcJdITgTuHmpFhebu3GmYep59fqR8nahNRMNWBdoLsyKx0/fvYCugWGnH7+9tAaRKgW+EgKLWYmIKPgEdBC9xNZ0ZSopHZUt3fjxn89h7awU/M26yasCPLwiGwoh8NJh75a7Gxg246XDtbihIA0z02JdOlZ8lApPrsvD59+9Hv/zlSJok6JwsbkbDy/PRlR46M0E3rloGiJVCrzmwgJDXbut0UqIpXMAgFIh8K93FeJK7yB+81GlU481dA/iTycbcO+SLCTFhHtohERERJ4T0EF0XkoMEqJVTi8uHBg24xuvlCE2Igy/fmAhFA6UJtPER+GWeRl47Wi920p7OWJ3eQPaeobwxBRnoceiVAjcMj8Dr311JQ58/wZ8a8Nstx07kMRFqrCxUIM95Y1T/j/VtfchUqVASmxoBoKFWfF4ZEUOXjxUe02+/UReOlSLYcvUP10hIiLytYAOohUKgSW2vGhn/PTd86hs6cFvHljkVIOMratz0TVgwjsnp5YD6iwpJbaX1mCOJg4rZ3hm0V9mQhTClAH9MnDJg0uz0TNowt4zzVN6vN5W3i6U8smv9p0v5SMpJhw/3H3WofUJ/UNmvHS4DjcWpCMv1bVPV4iIiHwl4KOnopxEVLX2OFyq7P0zTdh1pB5/sz4P65ysS1uck4i5mjivlbvbd6kNl1p78CTLf3nM0txE5KXE4PVj9VN6vM7YB22ILSq8WnyUCv+4cQ5O1nfgjeOTp8a8VaaHsW8YT67lLDQREQWugA+i7QsCT9Z3TLqv3tiHv3/rNBZqE/B3X8p3+lxCCGxdlYuKlm4cqvZ8ubvtpdVIU0fg9gXTPH6uUCWEwANLtThWa0RVa4/Tj9eHUKOVidy9OBPLpifh5x9cRHvv+G9oLRaJ5/bXYEFWPJZNT/LiCImIiNwr4IPohdp4KBVi0rzoYbMFT716ElICv3twMVRTTGG4c9E0JEarsNPD5e4uNneh9FIbtqzKRXhYwP83+bV7lmQiTCEcmkUdrWtgGJ39wyHVaGU8Qgj8dNN89AyY8MsPLo673ycXWlDT1osn1ubx0xUiIgpoAR+dRYeHYd60uEmD6P/6pBJl9R3493sKkZ089ZnDSJUSDy7LxsfnW0bKm3nCc6U1iFIpJ22uQq5LU0fixjlpeLtM71CbdDt7uUPORFvlZ6jx+JrpeO2Ybtyfx+2lNchMiMLG+RleHh0REZF7BXwQDVhTOsp1HTCZxw6ADlS14b9LLmNzsRZ3LHQ9NcJe1/blw1PLo51Ma/cAdpc34v7iLCREh2bVB2/bvFSLtp4h/OVii8OPsTdaCcXyduN56sZZ0MRH4ofvnL3m5/GUrgNHa9uxbXVuSC9mJSKi4BAUf8mKchLRP2zGxebua+5r6xnE06+XY0ZqLH5051y3nC8zIQpfmpuB147VY2DY7JZjjvbSoToMWyzYtpoLr7xl3axUZMRFOlUz2j4TzXSOv4qJCMM/3z4X55u6rqmp/mxpNdQRYdi8VOuj0REREblP0ATRAK75CNlikfi7N0+hs38Y//fLixEdHua2c25dnYuOvmHsLm9w2zEBa/mvlw/XYcOcdExPiXHrsWl8YUoF7i/OwueVBjR29Dv0GL2xH7ERYYiPGrtdfKi6ZX4G1s1OxW8+qkRr1wAA66Le988248FlWqgjeb2IiCjwBUUQPS0hCpr4yGuC6OcP1KCkwoAf3jYHBRlxbj3n8ulJKMhQY8fBOreWu3v7pL381+RdFMm9HijWQkrgjyf0Du2vN/YhKzGKC+SuIoTAT+6ch0GzBf+29wIA4IUDtQCArfx0hYiIgkRQBNGAtQX46CD6tL4Dv/jgIm6elz6Sw+xOQghsWZWLC01dOFbrfNvxsVgsEs+VWst/Lc1NdMsxyXHapGisnpmM14/pHGoaomvvhzaJ+dBjyU2JwdfWz8Du8kZ8eK4Zrx/T4fYFGmQmMPWFiIiCQ9AE0UXZiWjo6Edz5wC6B4bxv189idTYCPzi3gUemym8a1Em4qNU2HGwxi3H+6yiFdVtvXh8DZur+Mrmpdlo6OjHgcttE+4npYTONhNNY/vadTOQnRSNr+8qQ8+giZ+uEBFRUAmeIHpUXvQ/vXMWemM/fvvQYo9Wt4gKV+LBpVp8eK7F4TzaiWwvrYEmPhIbCzVuGB1NxZfmpiMhWoXXJ1lgaOwbRt+QmZU5JhCpUuLHm+bBZJFYkZeE+Znxvh4SERGR2wRNED13WhwiVQr8+uMK7C5vxNM3zkJxruc7on1lRQ6klNh1pG7ynSdwtqETh6qvYNvq3Ck3giHXRaqUuHtxJj461zJh572/VuZgED2R6/PT8LN7CvGTTfN9PRQiIiK3CppoTaVUYEFWAqoNvViRl4S/vX6mV86rTYrGjXPS8epRnUvl7p7bX4OYcCU2L2VzFV/bvFSLIbMFfzo5fuUVe41opnNM7qFl2Zidrvb1MIiIiNwqaIJoALguPxWp6gj81+bFUCq8l1O8bVUu2nuH8OdTjVN6fHPnAP58qhEPLNWyXJofKMiIw0JtAl4/Vj9u5RWd0d6tkEE0ERFRKAqqIPpr62fgwN/fgIz4SK+ed+WMZMxOj8XOQ7VTKne381AtLFLiMZb/8hsPLtWisqUH5bqOMe/XtfchIVrFmsdEREQhKqiCaCEEwsO8/5SEEHh0ZS7ONnShrN65cne9gybsOlyHW+ZnML/Wj9y+QIMolXLcBYZ6Yz8XFRIREYWwoAqifenuxZlQR4Zhx0HnFhj+8YQeXQMmPL6G5b/8iTpShdsXaLDnVCN6Bk3X3K8z9rHdNxERUQhjEO0mMRFh2FysxftnmtBia3U8GbNF4vkDNVicnTBSoo/8x4PLtOgbMuO901/MdbdYJPTGfmRxJpqIiChkMYh2o0dX5sIsJXYddmw2+pMLLai70scmFH5qSXYiZqbFXpPS0dYziCGTBVouKiQiIgpZDKLdKDs5Gjfkp+GVo/UYNE1e7m57aTWyEqPwpbnpXhgdOUsIgc3FWpTVd6CypXtk+0hlDuawExERhSwG0W62dXUu2nqGsPdM04T7les6cKzWiG2rpyOMzVX81t1LMqFSii/MRuvarTWiORNNREQUuhi9udmamSmYkRqDHQdqJ9zvuf01UEeEYfNSrXcGRlOSEhuBm+am4+0y/cinC/qRGtGciSYiIgpVDKLdTAiBLatycUrfiZPjlLtr6OjH3jNNeGh5NmIjwrw8QnLW5qXZMPYN45PzrQCsM9Gp6ghEqpQ+HhkRERH5CoNoD7hnSRZiI8Kw82DtmPfvOFADANiyKtd7g6IpWzMzBdPiI/HasXoAgL6jj50KiYiIQhyDaA+IjQjD/cVZeO9ME1q7v1jurntgGK8d1WFjoQaZCQzEAoFSIXB/sRb7q9qgN/ZB185GK0RERKGOQbSHPLoyF8NmiVeO1H9h+xvH9egeNOHJtWzxHUjuL84CALx+TIfGjn7ORBMREYU4BtEeMj0lBtflp2LXkXoMmSwAAJPZghcO1GBZbhIWZCX4eITkjKzEaKydlYodB2phski2aCciIgpxDKI9aOuqXBi6B/H+WWu5uw/PtUBv7MfjnIUOSJuLtei2tQBnOgcREVFoYxDtQetmpWJ6SszIAsPt+6uRmxyNDXPYXCUQbZibhqSYcABgOgcREVGIYxDtQQqFwKMrc1BW34EdB2pwsr4Dj62ZDqVC+HpoNAURYUrcX5yFmHAlpnFRKBERUUhjEO1h9xVZg64fv3se8VEq3FeU5eshkQu+c1M+Pnh6HcLD+KNDREQUyhgJeJg60ho4Swl8eXk2osPZXCWQhYcpuKiQiIiIwIjOC55cl4emzgE8tpoLComIiIiCAYNoL8hKjMYzjxb7ehhERERE5CZM5yAiIiIichKDaCIiIiIiJzGIJiIiIiJyEoNoIiIiIiInMYgmIiIiInISg2giIiIiIicxiCYiIiIichKDaCIiIiIiJ00aRAshnhdCtAohzo7aliSE+FgIccn2b6JtuxBC/FYIUSWEOC2EWOLJwRMRERER+YIjM9E7ANxy1bbvA/hUSjkLwKe27wHgVgCzbLevAvi9e4ZJREREROQ/Jg2ipZT7ALRftXkTgJ22r3cCuGvU9hel1WEACUIIjbsGS0RERETkD6aaE50upWwCANu/abbtmQB0o/bT27YREREREQUNdy8sFGNsk2PuKMRXhRDHhRDHDQaDm4dBREREROQ5Uw2iW+xpGrZ/W23b9QC0o/bLAtA41gGklM9IKYullMWpqalTHAYRERERkfdNNYjeA2CL7estAHaP2v6orUrHCgCd9rQPIiIiIqJgETbZDkKIVwFcByBFCKEH8CMAPwfwhhDicQD1AO637b4XwEYAVQD6AGzzwJiJiIiIiHxq0iBaSvnQOHfdOMa+EsDXXR0UEREREZE/Y8dCIiIiIiInCevksY8HIUQ3gApfjyOEpQBo8/UgQhSvvW/x+vsWr7/v8Nr7Fq+/b+VLKdWuHmTSdA4vqZBSFvt6EKFKCHGc1983eO19i9fft3j9fYfX3rd4/X1LCHHcHcdhOgcRERERkZMYRBMREREROclfguhnfD2AEMfr7zu89r7F6+9bvP6+w2vvW7z+vuWW6+8XCwuJiIiIiAKJv8xEExEREREFDAbRRERERERO8mgQLYR4XgjRKoQ4O8E+twghKoQQVUKI74/a/g3bNimESPHkOIOVi9dfCCH+TQhRKYS4IIR4yjujDg4OXvsx9xFC3C+EOCeEsAghWAJpCoQQWiHEZ7bX7jkhxDfH2W/M1/+o+38nhOjx/IiDh6vXXghxgxCiTAhxVgixUwjhL6VYA4IQIlIIcVQIccp2/X88zn5bhBCXbLcttm3RQoj3hBAXbY/9uXdHH/hcvP5qIUT5qFubEOK/vPsMApcT1/4DIUSHEOLdq7bvsv1OOmv7+6ya9KRSSo/dAKwDsATA2XHuVwK4DCAPQDiAUwDm2u5bDCAXQC2AFE+OM1hvLl7/bQBeBKCwfZ/m6+cTSLfJrv1E+wCYAyAfQAmAYl8/l0C8AdAAWGL7Wg2g0v7aHrXPuK9/2/3FAF4C0OPr5xNIN1euPawTOzoAs237/QTA475+ToF0AyAAxNq+VgE4AmDFVfskAai2/Zto+zoRQDSA6237hAMoBXCrr59TIN1cuf5jHOsEgHW+fk6BcnPk2tvuuxHAHQDevWr7RtsxBIBXAXxtsnN6dCZaSrkPQPsEuywDUCWlrJZSDgF4DcAm22NPSilrPTm+YOfK9QfwNQA/kVJabMdq9ehgg4wD137cfaSUF6SU7ODpAillk5SyzPZ1N4ALADKv2m3c178QQgngVwC+571RBwcXr30ygEEpZaVtv48B3OudkQcHaWX/9ERlu11dQeBmAB9LKdullEZYr/MtUso+KeVntuMMASgDkOWloQcFV67/6B2EELMApMH6RoYc4OC1h5TyUwDdY2zfazuGBHAUDrz2fZ0TnQnrrIOdHtf+siXPmej6zwCwWQhxXAjxvu0HmijgCCFyYf1k68hVd030+v8GgD1SyiZPjy+YTeHatwFQjUpjug+A1rOjDD5CCKUQohxAK6zBmjOvffsxEmCdrfvUk2MNRu64/gAeAvC6LaAjBzlw7R05hgrAIwA+mGxfXwfRYoxtfMF4z0TXPwLAgLS2JX0WwPNeGxWRmwghYgG8BeBpKWXX1XeP8RAphJgG4H4Av/P0+ILZVK69LWB4EMB/CiGOwjpbZPLsSIOPlNIspVwE60zaMiHE/Kt2mfBvry0P/VUAv5VSVntupMHJ1etv8yCs/wfkBAeuvSP+G8A+KeWknwJ4NYi2LTixJ8z/L1jffY2eZcgC0OjNMYUSJ6+/HtY/gADwJwALvDfS4DPGtScPs80mvAVgl5TybSde/4sBzARQJYSoBRAthKjy8vADmgvXHlLKQ1LKtVLKZQD2Abjk7fEHCyllB6xrK24bdf3vxOR/e58BcElKyUVtLpjq9RdCLAQQJqU84c3xBpMJrv2EhBA/ApAK4NuOnMerq56llDoAi+zf297tzhJCTAfQAOs7ry97c0yhxMnr/w6AG2CdgV4P6+IgmqKrrz15lhBCAHgOwAUp5W8Ax1//UspzADJG7dcjpZzpzfEHMleuve2+NCllqxAiAsDfA/g3Lz+FgCaESAUwLKXsEEJEAdgA4Be22Tn7PkkA/l0IkWjb9CUA/2C7718BxAN4wrsjDw6uXn+bh8BZaKc5cu0nefwTsOar32hfDzYpR1c9TuUG64ugCcAwrO+8rlllDetqyEpYV2r/YNT2p2yPMcH6Dm27J8cajDcXr38CgPcAnAFwCMBCXz+fQLo5eO3H3AfA3bbvBwG0APjQ188n0G4A1sD68ehpAOW228Yx9hvz9X/VPqzO4cVrD+uCzgsAKmBNBfH5cwqkG6yfGp60Xf+zAP55nP0eA1Blu22zbcuy/d9dGPV/94Svn1Mg3Vy5/qPuqwZQ4OvnEmg3J659KQADgH7b39qbbdtNtt9H9tf+mI8ffWPbbyIiIiIiJ/l6YSERERERUcBhEE1ERERE5CQG0URERERETmIQTURERETkJAbRREREREROYhBNRORDQggphHhp1PdhQgiDEOLdKR4vQQjxt6O+v26qxyIiovExiCYi8q1eAPNtzQEA4CZYG5BMVQKAv510LyIicgmDaCIi33sfwG22r7/QrUwIkSSEeEcIcVoIcVgIscC2/V+EEM8LIUqEENVCiKdsD/k5gBm2Nre/sm2LFUL8UQhxUQixy9ZVkIiIXMAgmojI914D8KAQIhLWrltHRt33YwAnpZQLAPwjgBdH3VcAa5vaZQB+JIRQAfg+gMtSykVSyu/a9lsM4GkAcwHkAVjtySdDRBQKGEQTEfmYlPI0gFxYZ6H3XnX3GgAv2fb7C4BkIUS87b73pJSDUso2AK0A0sc5xVEppV5KaYG1nW2ue58BEVHoCfP1AIiICACwB8B/ALgOQPKo7WOlXkjbv4Ojtpkx/u90R/cjIiIHcSaaiMg/PA/gJ1LKM1dt3wfgYcBaaQNAm5Sya4LjdANQe2SEREQ0grMRRER+QEqpB/B/xrjrXwC8IIQ4DaAPwJZJjnNFCHFACHEW1gWL77l7rEREBAgp5eR7ERERERHRCKZzEBERERE5iUE0EREREZGTGERqac3nAAAAL0lEQVQTERERETmJQTQRERERkZMYRBMREREROYlBNBERERGRkxhEExERERE56f8Da2BcLbzu3KYAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Shampoo_data.plot(figsize=(12,8));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(12, 8))\n",
    "sm.graphics.tsa.plot_acf(Shampoo_data, lags=20, ax=ax);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From this ACF plot, here show autocorrelation in the first lag. So, modified Mann Kendall test should be applied in here. We can use **Hamed and Rao Modified MK Test**, **Yue and Wang Modified MK Test**, **Modified MK test using Pre-Whitening method** or **Modified MK test using Trend free Pre-Whitening method** for this Shampoo Sales Dataset."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Modified_Mann_Kendall_Test_Hamed_Rao_Approach(trend='increasing', h=True, p=2.8916160532688195e-07, z=5.130377554630905, Tau=0.6984126984126984, s=440.0, var_s=7322.011164105283, slope=11.509375)"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mk.hamed_rao_modification_test(Shampoo_data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**Hamed and Rao Modified MK Test** show that there is a significant trend in this dataset. We can check this using other modified tests."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Modified_Mann_Kendall_Test_Yue_Wang_Approach(trend='increasing', h=True, p=4.89164264649844e-13, z=7.228299591844883, Tau=0.6984126984126984, s=440.0, var_s=3688.5591437515127, slope=11.509375)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mk.yue_wang_modification_test(Shampoo_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Modified_Mann_Kendall_Test_Trend_Free_PreWhitening_Approach(trend='increasing', h=True, p=1.2152931994080518e-09, z=6.078212917371978, Tau=0.7210084033613445, s=429.0, var_s=4958.333333333333, slope=12.263944666078734)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mk.trend_free_pre_whitening_modification_test(Shampoo_data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Modified_Mann_Kendall_Test_PreWhitening_Approach(trend='increasing', h=True, p=0.002860908222931835, z=2.982300730486251, Tau=0.3546218487394958, s=211.0, var_s=4958.333333333333, slope=5.623545987662016)"
      ]
     },
     "execution_count": 12,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mk.pre_whitening_modification_test(Shampoo_data)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "All Modified test shows that there is a **significant increasing trend**. So we are sure about this trend."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Air Passengers Dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>#Passengers</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Month</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1949-01-01</th>\n",
       "      <td>112</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-02-01</th>\n",
       "      <td>118</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-03-01</th>\n",
       "      <td>132</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-04-01</th>\n",
       "      <td>129</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1949-05-01</th>\n",
       "      <td>121</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            #Passengers\n",
       "Month                  \n",
       "1949-01-01          112\n",
       "1949-02-01          118\n",
       "1949-03-01          132\n",
       "1949-04-01          129\n",
       "1949-05-01          121"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Passenger_data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "Passenger_data.plot(figsize=(12,8));"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "From this figure, we observed a noticeable seasonality. So we should use **Seasonal MK Test** for this monthly dataset. And Because of this dataset is monthly data, so here we use **period=12**."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Seasonal_Mann_Kendall_Test(trend='increasing', h=True, p=0.0, z=15.50571052301472, Tau=0.98989898989899, s=784.0, var_s=2550.0, slope=30.23611111111111)"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "mk.seasonal_test(Passenger_data,period=12)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "According to the result, this dataset also has a **significant increasing trend**."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
